Question

The holding pond at a local factory is leaking. A reporter hears that the pond leaks 107.5 gallons of contaminated water every 43 days. The reporter wants to make a table showing how many leaks In 1 week, 2 weeks, and 1 month of 30. Then make the table.

Answer 1

There is a leak with a rate of 107.5 gallons every 43days, so:

`rate_{\text{leak}}=\frac{107.5gallons}{43\text{days}}=(107.5)/(43)\frac{gallons}{\text{day}}=2.5(gallons)/(day)_{}`

So, the reporter wants to make a table with the amount of contaminated water leaked for 1 week (7 days), 2 weeks (14 days) and 1 month (30 days).

`\begin{gathered} \text{The amount of contaminated water at some time(t) in days:} \\ \text{water(t)}=\text{rate}_{\text{leak}}\cdot t \\ \text{water}(1\text{week)}=2.5\cdot7\text{ gallons}=17.5\text{ gallons} \\ \text{water}(2\text{week)}=2.5\cdot14\text{ gallons}=35\text{ gallons} \\ \text{water}(1month\text{)}=2.5\cdot30\text{ gallons}=75\text{ gallons} \end{gathered}`