Question

A 28,000-gallon swimming pool is being drained using a pump that empties 700 gallons per hour. Which equation models this situation if g is the number of gallons remaining in the pool and t is the amount of time in hours the pool has been draining?

Answer 1

G/t = answer
28000/700= 14

Answer 2

`g(t) = 28000 -700 t`

Explanation:

Total volume of the swimming pool = 28000 gallon

Volume that is drained using a pump = 700 gallons per hour

Remaining number of gallons at time t = g(t) = a function of t

We have initially i.e. g(0) = 28000

And drain rate per hour = 700

Hence equation would be

g(t) = 28000 -700 t, where t = no of hours after pump starts working