Question

The function graphed represents the amount of water in a container, in gallons, x minutes after a drain is opened.

What is the meaning of each key feature of the graph?

Drag the answer into the box to match each item.

Answer 1

The x-intercept: The number of minutes it takes for the container to empty
The y-intercept: The number of gallons in the container before the drain is open

Hope this helps!!

Answer 2

Let

x-------> the time in minutes

y-----> the function that represent the amount of water in gallons

Step 1

Find the x-intercept

we know that

The x-intercept is the value of x when the value of the function is equal to zero

In this problem (see the graph)

For
`y=0`

the value of x is
`15\ min`

so

the x-intercept is the point
`(15,0)`

that means

The number of minutes it takes for the container to empty is
`15\ min`

Step 2

Find the y-intercept

we know that

The y-intercept is the value of the function y when the value of x is equal to zero

In this problem (see the graph)

For
`x=0`

the value of the function y is
`120\ gal`

so

the y-intercept is the point
`(0,120)`

that means

The number of gallons in the container before the drain is open is
`120\ gal`

therefore

the answer in the attached figure