Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amounts of
time that she worked.
Answers
Constant rates are used to illustrate linear functions.
The average rate of change is $9.0 per hourThe function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]The amount earned in 7.5 hours is $67.5(a) The average rate of change
This is calculated using:
[tex]\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}[/tex]
[tex]\mathbf{Rate = \frac{9}{1.0}}[/tex]
[tex]\mathbf{Rate = 9.0}[/tex]
Hence, the average rate of change is $9.0 per hour
(b) A function that models the table of values
Let x represent hours, and y represent the earnings.
So, we have:
[tex]\mathbf{y =m (x - x_1) + y_1}[/tex]
Where:
m =Rate = 9.0
So, we have:
[tex]\mathbf{y = 9(x - 2.5) + 22.5}[/tex]
Expand
[tex]\mathbf{y = 9x - 22.5 + 22.5}[/tex]
[tex]\mathbf{y = 9x }[/tex]
Represent as a function
[tex]\mathbf{f(x) = 9x }[/tex]
Hence, the function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]
(c) Amount earned for 7.5 hours
This means that x = 7.5
So, we have:
[tex]\mathbf{f(7.5) = 9 \times 7.5 }[/tex]
[tex]\mathbf{f(7.5) = 67.5}[/tex]
Hence, the amount earned in 7.5 hours is $67.5
Read more about constant rates at:
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Related Questions
Find the value of x
A. 56° B. 66° C. 809 D. 130°
Answers
Answer:
B.66
hope this helps you!!
A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (approximate to the nearest hundredth foot. ) 8. 86 feet 8. 87 feet 8. 88 feet 8. 89 feet.
Answers
Answer:
8.89 feet
Step-by-step explanation:
[tex]\sqrt{79}[/tex] = 8.888, rounded to nearest hundredth would be 8.89
pls help i was to turn this by tomorrow
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Answer:
a d
Step-by-step explanation:
Write 41. 287 to 1 decimal place
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Find the circumference of the circle in terms of .
58 in.
a.1161 in.
b. 587 in.
c.232 in.
d. 33647 in.
Answers
Answer:
116π
Step-by-step explanation:
Circumference = 2πr
Circumference = 2(58)π
Circumference = 116π
-Chetan K
The question is written on the image
Answers
Answer:
I have attached the answer below.
Step-by-step explanation:
The diagram which has red ink cannot take a perfect feeding path.
Hopefully this helps.
Please help!!!!! (worth 45 points)
Answers
Answer:
5 + (-5) and 8 + (-8)
Step-by-step explanation:
Sum of zero means when you add them you get 0
so the others are wrong
-5 + (-5) = -10 because you have -5 and you add another -5
-12 + (-12) = -24 you start with -12 and you add another -12
Think of positive and negative numbers like floors in a building. Positive numbers are the stories and the negative numbers are the basement and sub-basement, zero is the ground level. So for 5 + (-5) you go up 5 floors, then you go down 5 floors. you end up on the ground level, 0.
Item 4
A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.
What was the gopher's original position, p, relative to the surface?
Enter your answer in the box to complete the inequality.
Answers
Answer:
<-2
Step-by-step explanation:
i took the test
Answer:
<-2
Step-by-step explanation:
k12
all quiz answers for a crown!
Jane lives on a straight road that goes east and west. She starts from a point 6.3 miles west of her home and drives a certain distance to the store. The store is more than 4 1/2 miles east of her home.
Let d represent the distance Jane drove. Which inequality represents this situation?
−6.3+d≥−4 1/2
−6.3+d>4 1/2
−6.3+d>−4 1/2
−6.3+d≥4 1/2
Answers
The inequality that represents the situation is as follows (where d
represents the distance Jane drove):
−6.3 + d > 4 1/2
She lives on a straight road that goes east and west.
d = distance Jane drove.
She started from a point 6.3 miles west of her home and drives a certain distance to the store. Therefore,
She drives
-6.3 + dThe store is more than 4 1/2 miles east of her home. Therefore,
- 6.3 + d > 4 1/2read more: https://brainly.com/question/25658107?referrer=searchResults
Answer:
Hope this helps!
Color the star BLUE if the statement is true and RED if false
pwede p yong tamang answer hehe..bukas na kasi parasahan
Answers
Answer:
RED
BLUE
BLUE
RED
BLUE
MARK ME BRAINLIEST PLSSSOn a sunny day, Michelle and Nancy noticed that their shadows were different lengths. Nancy measured Michelle's shadow and found that it was 24.0 inches long. Michelle then measured Nancy's shadow and found that it was 13.5 inches long.
Answers
Cuanto le mide a messi la tula ?
Answers
Answer:
5’7”
Step-by-step explanation:
te refieres a lionel messi? el mide 5'7 ".
Perdon, mi español no es muy bueno :)
For a Brainly please help me out
Answers
Answer:
y = –(1/2)x + 7
Step-by-step explanation:
Slope intercept form is y = mx + b
m is the slope
When the slope is the same the lines are parallel
here the slope is –1/2
therefor
y = –(1/2)x + 7 is parallel
Write three consecutive multiples of 13 in a general form.
Answers
Answer:
answer given in step by step...
Step-by-step explanation:
13x+13(x+1)+13(x+2)=312
13x+13x+13+13x+26=312
39x+39=312
39x=312-39
39x=273
x=7
first number=13x=13*7=91
second number=13(8)=104
third number=13(9)=117
List the first six common multiples of 6 and 9
Answers
Answer:
The first few multiples of 6 and 9 are (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . )
I will give BRAINLIEST plz help
Answers
Answer:
-0.37
-2.86
0.91
0.19
1.46
Step-by-step explanation:
9lb. 11oz. - 3lb. 11oz. =
Answers
Answer:
6lb
Step-by-step explanation:
9lb - 3lb = 6lb
11oz - 11oz = 0oz
(7+7b)+(-2+8c)+(1+5d)
Answers
Answer: 7b + 8c + 5d + 6
Step-by-step explanation:
1) (7+7b)+(-2+8c)+(1+5d)
combine like terms (starts with the ones with variables)
2) 7b + 8c + 5d
now all you need to do is add the numbers without variables
3) 7b + 8c + 5d + (7 + -2 + 1)
4) 7b + 8c + 5d + 6
find the gradient and y- intercept of the line with equation 2x+3y-7=0
Answers
Answer:
Gradient = -2/3
y-intercept = 7/3
Step-by-step explanation:
Convert the equation in y = mx + c form, m is the gradient and c is the y-intercept
2x + 3y = 7
3y = -2x + 7
y = -2/3x + 7/3
Which general rule should you follow as you collect variable terms on one side of an equation?
Answers
Answer:
You should always Use addition or subtraction to separate the variable on one side of a equation.
Step-by-step explanation:
hello what is 100^4
pls help asap my homework
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Solution ~
[tex]100 {}^{4} [/tex][tex]100 \times 100 \times 100 \times 100[/tex][tex]100000000[/tex]or it can also be expressed as ~
[tex]10 {}^{8} [/tex]
[tex]1 {0}^{8} \\ \\ hope \: \: it \: \: helps \\ \\ see \: \: the \: \: attachement[/tex]
Select the interval where h(c) < 0.
A) -3
B)2
C)4
Answers
Answer:
Option C: 4
Hope this helps!
What expression is equivalent to tje alegbraic expression
2n-n
Possible Answers
n+2
2n+2
n²
n
3n
Answers
Answer:
n
Step-by-step explanation:
2n - n ← factor out n from each term
= n(2 - 1)
= n × 1
= n
Help me pleasee asap !!
Answers
Answer:
F = 110°
I'm not sure, but since no one answered, here it goes...
Step-by-step explanation:
∵ FD = FE (Given in Diagram)
∴ ΔDFE is isosceles , ∴m∠E = m∠D
1 ) 3x + 14 = 5x
14 = 5x - 3x
14 = 2x
14 / 2 = x
7 = x
m∠E = 3*7 + 14 = 35°
m∠D = 5*7 = 35°
m∠F = 180 - (35+35)
m∠F = 110°
Will give brainliest!
Answers
Answer:
1.) 1 1/3
2.) 6/7
Step-by-step explanation:
1.) 16/12 = 4/3 = 1 1/3
2.) Add the numerators if the denominators are the same already
Answer:
1. 1 1/3
2. 6/7
3. 1 1/4
Step-by-step explanation:
For the first one, the question is to reduce 16/12. So we need to see how many 12's there are in 16 --> 1. Because 16 - ( 12 · 1 ) = 4. We can't fit another 16 in four! Therefore the answer is 1 4/12 because the remainder that we solved above is 4. It can be simplified to 1 1/3.
5/7 + 1/7 is 6/7 because the denominator of the fractions are the same all you have to do is add the numerators together and leave the denominator 7:
5 1 6
----- + ------ = -------
7 7 7
To reduce 25/20 all you have to do is see how many 25's are in 20. Which is 1. 25 - ( 20 · 1 ) = 5. But there is still 5 left over so it would be: 1 5/20. Which can be simplified as 1 1/4
HOPE THIS HELPS :)
ANYONE CAN HELP ME ?? :)
Answers
Answer:
12[tex]\frac{2}{3}[/tex] cm
Step-by-step explanation:
Have a nice day
I need help with these two questions!! HELP
Answers
Answer:
AB and GF are skew
DH and BF are II
EF and HG are skew
ABCD and EFGH are II
Step-by-step explanation:
II is parralell or side by side.
Skew would be like intercepting with one another.
Have an awesome day! :D
help lol
The FOIL method helps you remember how to multiply each term in one ____________ by each term in the other ____________.
Answers
The FOIL method helps you remember how to multiply each term in one binomial by each term in the other binomial.
What is FOIL method?FOIL is the standard method of multiplying two binomials.
The word FOIL is an acronym for the four terms of the product:
First (“first” terms of each binomial are multiplied together)Outer (“outside” terms are multiplied—that is, the first term of the first binomial and the second term of the second)Inner (“inside” terms are multiplied—second term of the first binomial and first term of the second)Last (“last” terms of each binomial are multiplied)We try to explain this using an example.
[tex]= (2x+1)(3x+ 5)\\\\=(2x * 3x) + (2x * 5) + (1* 3x) + (1 *5)\\\\= 6x^{2} + 10x + 3x + 5\\\\= 6x^{2} + 13x + 5[/tex]
Learn more about FOIL method here
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Write the given expanded form into the standard form of a number.
4
4
T-Th + 5
+
5
T + 1
+
1
H-Th + 9
+
9
O + 3
+
3
M + 7
+
7
Th
Answers
Answer
44,005 + 5,001+ 100,009 + 93 + 3,000,007+ 7,000
Step-by-step explanation:
your internet provider offers two different plans. One plan costs $.02 per email plus a $9 monthly service charge. the other plan costs $.05 per email with no service charge.
Answers
Answer:
Step-by-step explanation:
y=.02x+9 - First Part
y=.05x - Second Part