Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
The graph is an illustration of a linear equation, where
- The cubic feet per minute is 31.25
- The cubic feet per hour is 1875
- 15931.25 cubic feet of water will be used at the water park on Tuesday
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
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.