The graph shows the number of cubic feet of water used overtime at a waterpark that is open during the hours and the table. At this rate, how many cubic feet of water would be used at the waterpark on a Sunday?
A. What is the unit rate and cubic feet per minute?
B. What is the unit rate and cubic feet per hour?
C. Write an equation for the number of cubic feet of water y using x hours, and use it to solve the problem.
D. How many cubic feet of water would be used at the waterpark on a Tuesday?

please help me.
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thank you!

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Answered

Answer :

MrRoyalgo MrRoyalgo · Answer 1

The graph is an illustration of a linear equation, where

From the graph, we have:

[tex](x_1,y_1) = (1,25)[/tex]

[tex](x_2,y_2) = (5,150)[/tex]

The unit rate is calculated as follows:

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

[tex]m = \frac{150-25}{5-1}[/tex]

[tex]m = \frac{125}{4}[/tex]

[tex]m = 31.25[/tex] cubic feet per minute

The unit rate per hour is as follows

[tex]m = 31.25 \times 60[/tex]

[tex]m = 1875[/tex] cubic feet per hour

The equation in hours is as follows:

[tex]y = m(x - x_1) + y_1[/tex]

Where:

[tex]m = 1875[/tex]

[tex](x_1,y_1) = (1/60,25)[/tex] ---- in hours

So, we have:

[tex]y = 1875(x - 1/60) + 25[/tex]

[tex]y = 1875x - 31.25 + 25[/tex]

[tex]y = 1875x -6.25[/tex]

The water park runs 8.5 hours on Tuesday (i.e. 11am to 7:30pm)

So, we have:

[tex]y = 1875 \times 8.5 -6.25[/tex]

[tex]y = 15931.25[/tex]

Hence, 15931.25 cubic feet will be used at the water park on Tuesday

Read more about linear equations at:

https://brainly.com/question/11897796