Answer :
The unit rate is [tex]\(\frac{3}{5}\)[/tex] gallons per week, meaning 3 gallons every 5 weeks, simplified from [tex]\(\frac{12}{20}\)[/tex] .
To find the unit rate in gallons per week, we need to convert the given rate from days to weeks.
Given that there are 7 days in a week, we can set up a proportion to find the unit rate:
[tex]\[\frac{12 \text{ gallons}}{20 \text{ days}} = \frac{x \text{ gallons}}{1 \text{ week}}\][/tex]
To find (x), we can cross-multiply and solve for (x):
[tex]\[12 \times 1 = 20 \times x\]\[12 = 20x\]\[x = \frac{12}{20}\]\[x = \frac{3}{5}\][/tex]
So, the unit rate is [tex]\(\frac{3}{5}\)[/tex] gallons per week.
