Gepetto, a puppet maker, can produce 15 new puppets per week. He already has 25 completely finished puppets in storage. We want to write an equation to model the relationship between the number of puppets available for sale and the number of weeks. a) What is the slope of your model? (Hint: you are looking for a rate!) b) What is the y-intercept of your model? (Hint: this is also sometimes called the “starting value.”) c) Write an equation in slope-intercept form expressing the relationship between the number of puppets available for sale and the number of weeks. Make sure to define your variables! d) Use your equation to predict how many puppets would be available for sale after seven weeks. e) Use your equation to determine how many weeks it would take Gepetto to fulfill an order for 220 puppets.

Answers

Answer 1

Answer:

a) 15

b) 25

c) p = 15w + 25, where p is puppets and w is weeks

Step-by-step explanation:

a) Gepetto makes 15 puppets a week, so as the weeks increase by 1, puppets increases by 15, making the slope 15

b) Gepetto started out with 25 puppets. This means that when x = 0 (0 weeks), there will be 25 puppets already

c) The slope and y-intercept were incorporated into an equation in slope-intercept form.


Related Questions

You’d like to see how many baseball and soccer games you can attend this spring. Travel time for basketball games is 2 hours and soccer games is 1 hour. You would like to spend no more than 15 hours traveling to the games. In total, you would like to attend at least 8 games.

Answers

4 basketball games and 7 soccer games

We have to attend 7 basketball games and 1 soccer game.

Given, we had two types of game namely basketball and soccer.

Travel time for basketball games is 2 hours and soccer games is 1 hour.

Let no. of basketball games be x and no of soccer games be y.

According to the question we would like to attend at least 8 games, so we have the inequality  [tex]x+y\geq 8[/tex]

And  we would spend no more than 15 hours traveling to the game, so [tex]2x+1y\leq 15[/tex].

[tex]x+y=8\\[/tex]

[tex]2x+1y=15\\[/tex]

On solving we get [tex]x=7[/tex] and [tex]y= 1[/tex].

Hence we have to attend 7 basketball games and 1 soccer game.

For more details on Equation follow the link:

https://brainly.com/question/10824691

In a city the distance between the libary and the police station is 3 miles less than than the distance between the police station and fire station the distance between the libary and police station is 5 miles how far apart are the police station and the fire station

Answers

Answer:

8 miles

Step-by-step explanation:

Given

Represent the police station with P, Library with L; Fire station with F

The first statement can be represented as:

[tex]L - P = P - F - 3[/tex]

The second can be represented as:

[tex]L - P = 5[/tex]

Required

Determine the distance between the police station and the fire station (P - F)

[tex]L - P = P - F - 3[/tex] --- (1)

[tex]L - P = 5[/tex] --- (2)

Substitute 5 for L - P in (1)

[tex]5 = P - F - 3[/tex]

Add 3 to both sides

[tex]3 +5 = P - F - 3 + 3[/tex]

[tex]3 +5 = P - F[/tex]

[tex]8= P - F[/tex]

[tex]P - F = 8[/tex]

why do math exist in school?​

Answers

Answer: I have no idea

Step-by-step explanation:

Leigh is renting a moving van The function C (d) = 0.12d + 25 is used to relate the cost, C, in dollars of the rental after Leigh
uses the van for d miles. What is the interpretation of the slope for this function? (1 point)
The initial cost of the moving van is $0.12
The additional cost is $25 for each additional mile the van is driven
The initial cost of the moving van is $25.
The additional cost is $0.12 for each additional mile the van is driven

Answers

Answer:

The additional cost is $0.12 for each additional mile the van is driven ⇒ D

Step-by-step explanation:

The form of the linear function is

f(x) = m x + b, where

m is the rate

b is the initial value

In our question

The function C(d) = 0.12 d + 25 represents the cost C in dollars of the rental van uses for d miles

→ Compare it with the form of the linear function above

m = 0.12

b = 25

∵ The cost C depends on the number of miles d

$0.12 is the cost per mile ⇒ additional cost for each additional mile

$25 is the initial cost ⇒ initial cost of the moving the van

The interpretation of the slope for this function is:

The additional cost is $0.12 for each additional mile the van is driven

Answer:

+0.12

Step-by-step explanation:

The additional cost is 0.12 cents for each additional mile the van is being driven.

pls help me...
A. y is all real numbers
B. y>0
C.-6</=x </=6
D.0 </=y </=8​

Answers

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[tex]0 \leqslant y \leqslant 8[/tex]

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Thus the correct answer is (( D )) .

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4. Which number is irrational?
A. (1.5)?
C. 149
D. (15)

Answers

The irrational number is (B)

find the value of -7 + 3(-12) ÷ (-3)

A. -16
B. 5
C. -40
D. -19

Answers

Your answer to your question is going to be D)-19

What is the variable expression that represents the word phrase.
The product of 2 and x is increased by 7

Answers

Answer:

2x + 7

Step-by-step explanation:

The product of 2 and x

Product means multiplication

The product of 2 and x means multiplication of 2 and x

Which is equivalent to

2 * x = 2x

The product of 2 and x is increased by 7

That is, 7 is added to the product of 2 and x

Here,

2x + 7

The variable expression that represent the word phrase "The product of 2 and x is increased by 7" is 2x + 7

Can someone help me out please ?

Answers

it’s option 2, 8x^2+2x+8

Answer:

i think its option 1

Step-by-step explanation:

Look at this graph:
y
100
90
80
70
60
50
40
30
20
10
X
0
10
20 30 40 50 60 70 80 90 100
What is the slope?

Answers

Find the x- and y-intercepts of the graph of each ... CCSS REASONING The equation 5x + 10y = 60 ... 20. SOLUTION: The x-intercept is the point at which the y-coordinate is 0, or the line ... charges $50 for admission before 6 p.m. and $20 for ... (90, 70). 100 f (100) = 160 – (100). 60. (100, 60). 130 f (130) = 160 – (130). 30.

6+3{[4-2(4-7)]}=
I need answer this whit steps.

pls.

Answers

Step-by-step explanation:

6+3((4-2(4-7))

1. 6+3((2(4-7))

2. 6+3((2(*-3)

3. 6+3(-6)

4. 6+(3*-6)

5. 6+-18

6. -12

A drone costs $200, and you receive a 15% discount due a coupon. What is
the total amount to be paid?

Answers

Answer:

the total would be 170 dollars

Step-by-step explanation:

200x0.15

Answer:

$170

Step-by-step explanation:

15% of 200 is 30, so subtracting 30 from 200 gets you 170.

If you're having trouble with finding 15% of 200, just flip it around, and find 200% of 15. 15% of 200 and 200% of 15 are both 30. This works no matter what numbers you have. For example, 8% of 100 and 100% of 8 are equivalent, 70% of 200 and 200 and 200% of 70 are equivalent as well.

A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7. 1.What are the side lengths of the scaled copy? 2. Suppose you want to scale the copy back to its original size. What scale factor should you use?​

Answers

for the first one it’s 14 by 21 inches

A student has passed 60 percent of the 20 quizzes he has written so far successfully. If the student writes 50 quizzes during the year, and passes 80 percent of the remaining quizzes successfully, what would his average percentile be?

Answers

Answer:

A student has passed 60 percent of the 20 quizzes he has written so far successfully mean:

successfully quizzes = 60 % of 20 quizzes = ( 60 / 100 ) * 20 = 60 * 20 / 100 = 1200 / 100 = 12

The remaining quizzes = 50 - 20 = 30 quizzes

80 percent of the remaining quizzes successfully mean:

The remaining successfully quizzes = 80 % of 30 = ( 80 / 100 ) * 30 = 80 * 30 / 100 = 2400 / 100 = 24

Total successfully quizzes = 12 + 24 = 36

Average = ( 36 / 50 ) * 100 % = 0.72 * 100 % = 72 %

Pls rate Brainliest!

Answer:73%

Step-by-step explanation:A student has passed 60 percent of the 20 quizzes he has written so far successfully mean:

successfully quizzes = 60 % of 20 quizzes = ( 60 / 100 ) * 20 = 60 * 20 / 100 = 1200 / 100 = 12

The remaining quizzes = 50 - 20 = 30 quizzes

80 percent of the remaining quizzes successfully mean:

The remaining successfully quizzes = 80 % of 30 = ( 80 / 100 ) * 30 = 80 * 30 / 100 = 2400 / 100 = 24

Total successfully quizzes = 12 + 24 = 36

Average = ( 36 / 50 ) * 100 % = 0.72 * 100 % = 72 %

Cuales son las 5 propiedades de la adición

Answers

Answer:

En realidad supongo que solo hay 4 no 5.

Step-by-step explanation:

pwease help thank you

Answers

Answer: -3

So, first off, judging from the h(x) graph, h(x)=-2x–1
So this is compositions or something like that; it’s been a year since I’ve done calculus but here we go:
First, you must find f(6) by replacing every x in that function by 6
f(6) = (1/2)(6) – 4
f(6) = (6/2) – 4
f(6) = 3 – 4
f(6) = -1
Now, since you’ve found f(6), now to find h(-1) (since f is -1 and h( f(6) ) is h(-1) )
h(-1) = 2(-1) – 1
h(-1) = -2 – 1
h(-1) = -3

So, the answer is -3

combine like terms 10a-10a+1

Answers

1 is the correct answer

Answer:

1

Step-by-step explanation:

10a and -10a would combine and cancel eachother out leaving you with 1

During a basketball season cathy sored 40% of her shots If she scored 140 goals how many shots did she make

Answers

Answer:

Step-by-step explanation:

Set up the following ratio. Let the total number of shots = x

40/100 = 140/x               Cross multiply

40x = 100* 140               Combine the right

40x = 14000                   Divide by 40

x = 14000/40

x = 350

She took 350 shots in total.

I NEED HELP ASAP WE ARE GIVING BRAILIEST AND POINT HURRY I NEED

HELP!!!Q.1) The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total distance of 95 centimeters in 5 seconds.

What is the time in seconds the ant crawls when the total distance is 133 centimeters?
A.6 s
B.7 s
C.19 s
D.27 s

Answers

Answer: C

Step-by-step explanation:

not A or d

B or C

All I did was divide 95 and 5 and I got 19!

hope this helps!:)

Answer:

B.) 7 seconds

Step-by-step explanation:

We are given that the ant can crawl 95 centimeters in 5 seconds, which means that it can crawl 19 centimeters in 1 second (95 centimeters/5 seconds). Now you need to divide 19 from 133 (133 centimeters/19 centimeters per second), and you get 7 seconds.

What is 1 + 1? I forgot

Answers

Answer:

2

Step-by-step explanation:

PLEASE HELP,I AM BEING TIMED!!
Measure the angle of 6

Options: 100
120
30
60

Answers

30 degrees

Measure of the angle of 6 is 30 degrees

Answer:

30 degrees

Step-by-step explanation:

because 60 degrees is already there and 120 is angled the opposite way, and 100 degrees is a little farther than 90.

Find the equation of a line that passes through the points (2, 16) and (-1, 7)

Answers

Answer:

y=3x+10

Step-by-step explanation:

7-16=-9

-1-2=-3

-9/-3=3

m=3

A granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.The equation represents the relationship between these quantities. What is the prolom asking you to find? * 4c + 5 = 27

Answers

Answer:

Quantity of carbohydrate in gram = 5.5 gram

Step-by-step explanation:

Given:

Amount of calories contain = 27

1 gram carbohydrate = 4 calories

Equation : 4c + 5 = 27

Find:

What is c

Computation:

Equation asking for quantity of carbohydrate in gram

So,

4c + 5 = 27

4c = 22

c = 5.5

Quantity of carbohydrate in gram = 5.5 gram

Need help with these bad

Answers

My camera kinda bad but you should be able to see the photo.

HELP ME PLZZ I NEED HELP WITH THIS!!!

Answers

I believe the answer is letter A

Answer:

D because you're adding to negatives and you get a postive

What type of slope does (-7,8) and (-7,0) have?

Answers

Answer:

Undefined slope

Step-by-step explanation:

any number divided by 0 is undefined

-8/0

Answer: m=12/7

Step-by-step explanation:

I looked it up for you bro

Maria rewrote 45.59 – 7.9 as 45.59 - 7.90. Is the value of 79 changed by annexing a zero after 7.9? Why or why not? ​

Answers

Answer:

No

Step-by-step explanation:

because it is 7.9 and all you are doing is adding a place holder with is the zero

3) 8x = 72
It’ll help

Answers

Answer:

9

Step-by-step explanation:

×=72/8

×=9

Hope it helps

Answer: 9

Step-by-step explanation: First, look for the value of x. A number with a variable in front of it means that you’ll be multiplying, but you can use division which makes it easier to find x. SO, DIVIDE 72 by 8 (82 ÷ 7), which equals to 9. (8 x 9 = 72)


Solve for the value of s.


HELP PLS NOW 20 POINTS

Answers

Answer:

15

Step-by-step explanation:

82 + (7s - 7) = 180

   - subtract 82 from both sides

7s - 7 = 98

   - add 7 to both sides

7s = 105

   - divide both sides by 7

s = 15

The answer is 55. You need to use the rules above to find the actual measure for angle b

Answers

209 + 96 + 55 = 360

Step-by-step explanation:

A circle is 360 degrees

209 is part of the circle so find the difference between 360 and 209

360 - 209 = 151

If the two angles are equivalent to 151, then we find the difference between 151 and 96 to get the measurement for angle b

151 - 96 = 55

I read now that it says use the rules above, but I'm not seeing any rules in the picture so hopefully my steps are the rules you're referring to

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