Question

1) A hot tub holds 500 gallons of water and drains at a rate of 10 gallons per minute. Type an equation that represents how many gallons are left in the tub after it has drained for x minutes.

2) After 16.5 min, how much water is left in the tub?
3) How long will it take the hot tub to be completely empty?

Answer 1

Explanation:

`) y=500-10x

y is how much water is left in the tub

the 500 is how many gallons of water is already in the tub

-10x is how much water is drained every minute

2) plug in 16.5

y=500-10*16.5

y=500-165

y=335

335 gallons left

3) make y 0 because that represents how many gallons are in the tub

0=500-10x

-500=-10x

/-10

x=50

50 minutes