Question

A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed into the pool and begins adding water at a rate of 1250 gallons per hour. Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed into the pool until it is full.

Answer 1

20000-5000=15000

15000/1250=12

it will take 12 hours

Answer 2

Solution: The  figure 1 shows the graph of the volume of water in the pool over the time from when the hose is placed into the pool until it is full.

Explanation:

It is given that the capacity of the pool is 20,000 gallon and initial water in the pool is 5000 gallons. The remaining capacity of the pool is 15,000 gallons.

The water in the pool increased at the rate of 1250 gallons per hour.

$\frac{15000}{1250}=12$

So tank will be full after 12 hours.

The initial water in the pool is 5000 gallons and water in the pool increased at the rate of 1250 gallons per hour. So, the volume of water in the pool is described by the equation $V=5000+1250t$.

First we find the value of volume function in different value of t, then plot these points in a coordinate plane and join them with a straight line.

Hence, the coordinate table and graph of the volume function is given below.