Question

a pump releases water at a rate of 10 gallons every 45 days.
what is the unit rate in gallons per week?
enter your answer as a mixed number in simplest form in the box.
\boxed{} gal/week

Explanation:

Step1: Convert days to weeks

There are 7 days in 1 week, so 45 days = $\frac{45}{7}$ weeks.

Step2: Calculate rate in gal/week

Divide total gallons by total weeks: $\frac{10}{\frac{45}{7}} = 10 \times \frac{7}{45}$

Step3: Simplify the fraction

$\frac{70}{45} = \frac{14}{9}$

Step4: Convert to mixed number

$\frac{14}{9} = 1\frac{5}{9}$

Answer:

$1\frac{5}{9}$ gal/week