Question

Kim accidentally leaves the water hose running for half a day. The graph represents the loss of water during that time ?

Answer 1

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

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

`m = (y_1 - y_2)/(x_1 - x_2)`

Where the x's and y's represent corresponding values of x and y on the graph

So, we have:

`(x_1,y_1) = (5,40)`

`(x_2,y_2) = (10,80)`

`m = (y_1 - y_2)/(x_1 - x_2)` becomes

`m = (40 - 80)/(5 - 10)`

`m = (- 40)/(- 5)`

`m = (40)/(5)`

`m = 8`

Hence, the rate at which water flows from the hose is 8 gallons per hour