Question

A leaky valve on the water meter overcharges the residents for one gallon of water every 1 1/3 months. The overcharged amount w varies directly with time t. Find the equation that models this direct variation. How many months it will take for the residents to be overcharged for 5 gallons of water?

Answer 1

equation for direct variation:
\[w = kt\]
plug in given w,t and solve for "k"
\[1 = \frac{4}{3}k\]
\[k = \frac{3}{4}\]
for 2nd part, plug in w=5 and solve for "t"