Complete Question:
Kim accidentally leaves the water hose running half a day. the graph represents the loss of water during that time. use the graph to complete the following statement:
The rate at which water flows from the hose is *blank* gallons per hour.
See attachment for graph
Answer:
8 gallons per hour
Step-by-step explanation:
Required
Determine the rate of water loss
To get the rate, we simply calculate the slope (m) of the graph using the following formula
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Where the x's and y's represent corresponding values of x and y on the graph
So, we have:
[tex](x_1,y_1) = (5,40)[/tex]
[tex](x_2,y_2) = (10,80)[/tex]
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex] becomes
[tex]m = \frac{40 - 80}{5 - 10}[/tex]
[tex]m = \frac{- 40}{- 5}[/tex]
[tex]m = \frac{40}{5}[/tex]
[tex]m = 8[/tex]
Hence, the rate at which water flows from the hose is 8 gallons per hour
