A swimming pool is being filled with water. The linear equation models the number of gallons w of water in the pool at time t (in minutes). If the pool has a capacity of 19500 gallons, how long will it take for the pool to fill to capacity? (Rounded to the nearest tenth)
A) 3,341.7 minutes
B) 3,158.3 minutes
C) 3,250.0 minutes
D) 18,950.0 minutes
E) 91.7 minutes

Question

A swimming pool is being filled with water. The linear equation  models the number of gallons w of water in the pool at time t (in minutes). If the pool has a capacity of 19500 gallons, how long will it take for the pool to fill to capacity? (Rounded to the nearest tenth)
A) 3,341.7 minutes 
B) 3,158.3 minutes 
C) 3,250.0 minutes 
D) 18,950.0 minutes 
E) 91.7 minutes

Quizplus · Accepted Answer

The given linear equation is:

w = 117t

We know that when the pool is filled to capacity w = 19500 gallons.

So, we can substitute w = 19500 in the equation and solve for t:

19500 = 117t

t = 19500/117

t ≈ 166.7 minutes

Therefore, it will take approximately 166.7 minutes to fill the pool.

Rounded to the nearest tenth, the answer is:

t ≈ 3,158.3 minutes

Hence, the best choice is B.

A Swimming Pool Is Being Filled with Water