Question

a leaky valve on the water overcharges the residents for one gallon of water every 1 1/3 months. the over charged amount w varies directly with time t. find the equation that models this direct variation. how many months it will take for the residence to be over charged 5 gallons of water?
A. w= 3/4t; 6 2/3 months
B. w=4/3t; 6 2/3 months
C. w=3/4t; 3 3/4
D. 4/3t; 3 3/4 months

Answer 1

1 and 1/3 = 4/3. so w = (4/3)t, where t is months.

now use that function to find the second part.

5 = (4/3)t -----> t = 15/4 = 3 3/4 months