Question

11. A tank is being filled up with water. At t=0, we know that the tank holds 150 gallons of

water, and after one hour ( t=1) , it holds 180 gallons of water.
a) Assuming that the volume of water in the tank, V, is a linear function of time, t, in hours,
find a formula for V ( linear function)

b) BY what percent did the volume of water increase from t=0 to t= 1?

Answer 1

20%

Step-by-step explanation:

The volume formula is V = 30t + 150 → where 150 is y-intersect and the slope is 30 gals per hour

So you can do:

30 gals of increase on top of the 150 gals to get:

30/150×100% which equals 20%

:)

Answer 2

• V = 30t + 150
• 20%

Explanation:

Given

• Initial volume = 150 gal
• Volume after 1 hour = 180 gal

a) The volume formula will be:

• V = 30t + 150

As 150 is y-intersect (volume at zero time) and the rate of change (the slope) is 30 gal per hour

b) Increase of volume by percent:

30 gal increase on top of 150 gal

• 30/150*100% =
• 20%