Question

The initial volume of water in a certain pond is 2,000 m3. Each day 0.5 m3 is drained from the pond.

What does the expression 2000−0.5x represent?

A) The volume of water in the pond after x days
B) The number of days it will take to completely drain the pond
C) The total volume of water drained from the pond during x days
D) The time it will take to drain half of the volume of water from the pond

Answer 1

Option A The volume of water in the pond after x days

Explanation:

Let

y ------> the volume of water in the pond

x -----> the number of days

we know that

The linear equation that represent this problem is

`y=2,000-0.5x`

This is the equation of the line in slope intercept form

where

the slope is

`m=0.5\ (m^3)/(day)`

the y-intercept is

`b=2,000\ m^3` ----> initial volume of water in the pond

therefore

The expression represent

The volume of water in the pond after x days