Question

A leaky valve on the water meter overcharges the residents for one gallon of water every 2÷ months.
The overcharged amount w varies directly with time t. Find the equation that models this direct
it many months it will take for the residents to be overcharged for 7 gallons of water?
variation.

Answer 1

Answer:

$\huge\orange\star\:\huge\begin{gathered}{\underline{\boxed{\mathcal{\pink{Answer}}}}}\end{gathered}$

Step-by-step explanation:

The overcharge amount (w)= 1 gallon of water

$time \: = 2 \times \frac{1}{5}$

Therefore the equation to count the overcharge amount is :

$w \times 1 = t \times 2 \times \frac{1}{5}$

$w = 2 \times \frac{1}{5} \times t$

Then, for 7 gallons of water, we need to replace w with 7

$w = 2 \times \frac{1}{5} \times t \\ 7 = 2 \times \frac{1}{5} \\ t = \frac{7}{2 \times \frac{1}{5} } \\ = 3.18 \: months$