Mathematics High School

A large water tank holds 600 gallons of water. It is losing water at the rate shown in the table.

Answers

Answer 1

Answer:

Part A - The answer is C

Part B - a.true, b.true, c.false, d.true.

Step-by-step explanation:

Part A

The slope shown on the table is -60 because the table shows that after each hour, the Gallons of Water decrease by 60.

Part B

a. The slope is -60 not -600, this was established on Part A.

b. We start off with 600 gallons of water. The equation is y = 600 - 60x. If we input 7 as x, we get 600 - 420 which is 180.

c. The initial value was 600, -60 is the slope.

d. As mentioned in b. of part B.

Answer 2

A linear function changes by a constant rate.

The slope is -60, and it represents the rate at which the amount of water changes hourly.The true statements are (b) and (d)The false statements are (a) and (c)

Two points on the table are given as:

[tex](x,y) = (0,600)\ (1,540)[/tex]

The slope (m) of the points is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{540 - 600}{1-0}[/tex]

[tex]m = \frac{- 60}{1}[/tex]

[tex]m = - 60[/tex]

So, the slope is -60, and it represents the rate at which the amount of water changes hourly.

The function of the table is represented as:

[tex]y = -60x + 600[/tex]

So:

(a) is false, because the slope is -60

(b) is true, because y = 180 when x = 7

(d) is true

Read more about linear functions at:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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