Question

The ratio table shows the depths of water in a fish tank for different numbers of gallons. Find the unit rate in inches per gallon. Give your answer in decimal form.

Answer 1

0.5 in/gal

Explanation:

Divide inches over gallons with any two corresponding numbers. Use 3in and 6gal

3/6

Simplify

1/2

0.5

Answer 2

Unit rate in inches per gallon = 0.5

Explanation:

To find the unit rate in inches per gallon, we need to divide the total depth of the water by the total number of gallons.

`\begin{aligned} \textsf{Unit rate } & = \frac{\textsf{Total depth }}{\textsf{Total gallons}} \\\\ & = (3 + 4 + 5 + 6)/(6 + 8 + 10 + 12) \\\\ & = ( 18)/(36) \\\\& = \frac{ \cancel{18}}{\cancel{18}\cdot 2 }\\\\& =(1)/(2)\\\\ & = 0.5 \end{aligned}`

Therefore, the unit rate in inches per gallon is 0.5.

This means that for every gallon of water in the fish tank, the depth of the water increases by 0.5 inches.