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Explanation
to find the weekly rate of eating we need to use
[tex]\text{rate}_{wekly}=\frac{eaten\text{ slices}}{\nu\text{mber of we}eks}[/tex]hence, we need to convert 3 days into weeks, ( let x represents the number of weeks in 3 days),so
1 week= 7 days
x weeks= 3 days
the proportion is
[tex]\begin{gathered} \frac{1\text{ w}eek}{7\text{ days}}=\frac{x\text{ w}eeks}{3\text{ days}} \\ \frac{1}{7}=\frac{x}{3} \\ \text{Multiply both sides by 3} \\ \frac{1}{7}\cdot3=\frac{x}{3}\cdot3 \\ \frac{3}{7}=x \end{gathered}[/tex]therefore
[tex]3\text{ days=3/7 of w}eek[/tex]Now, replace .
[tex]\begin{gathered} \text{rate}_{wekly}=\frac{eaten\text{ slices}}{\nu\text{mber of we}eks} \\ \text{rate}_{wekly}=\frac{5\text{ slices}}{\frac{3}{7}\text{ we}ek} \\ \text{rate}_{wekly}=\frac{35\text{ slices}}{3\text{ w}eks} \\ \text{rate}_{wekly}=\frac{35}{3}\text{slices per w}eek \end{gathered}[/tex]I hope this helps you
