Question

you are draining a fish pond. The amount Y in liters of water remaining after X hours is y equals -60x + 480 a graph the equation be interpreted the X and Y intercepts​

Answer 1

The graph in the attached figure

see the explanation

Explanation:

Let

x----> the time in hours

y ----> liters of water remaining in the fish pond

we have

`y=-60x+480`

This is the equation of a line in slope intercept form

`y=mx+b`

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

The slope or unit rate is equal to

`m=-60\ (liters)/(hour)` ----> is negative because is a decreasing function

The y-intercept or initial value is

`b=480\ liters`

The graph in the attached figure

Remember that

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

The y-intercept is the point (0,480)

That means----> The initial amount of liters of water in the fish pond was 480 liters before drainage began (for x=0 hours).

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

The x-intercept is the point (8,0)

That means----> The time required to empty the fish pond is 8 hours (for y=0 liters)