To solve this problem, we need to determine the cost of renting the bicycles for Francesca and Phil using the equation [tex]\(c = 6.5h\)[/tex], where [tex]\(c\)[/tex] is the cost and [tex]\(h\)[/tex] is the number of hours. Let's fill in the table first:
[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\hline
\multicolumn{5}{|c|}{Cost for Renting Bicycles} \\
\hline Number of Hours $(h)$ & 0 & 2 & 4 & 6 \\
\hline Cost $(c)$ & 0 & 13 & 26 & 39 \\
\hline
\end{tabular}
\][/tex]
Here’s how we filled in the table:
- For 0 hours: [tex]\( c = 6.5 \times 0 = 0 \)[/tex]
- For 2 hours: [tex]\( c = 6.5 \times 2 = 13 \)[/tex]
- For 4 hours: [tex]\( c = 6.5 \times 4 = 26 \)[/tex]
- For 6 hours: [tex]\( c = 6.5 \times 6 = 39 \)[/tex]
Next, let's focus on the specific rental details:
- Francesca rents a bicycle for 2 hours.
- Phil rents a bicycle for 6 hours.
Using the cost equation [tex]\(c = 6.5h\)[/tex]:
- Francesca's cost for 2 hours: [tex]\(c = 6.5 \times 2 = 13\)[/tex] dollars
- Phil's cost for 6 hours: [tex]\(c = 6.5 \times 6 = 39\)[/tex] dollars
To find how much more Phil pays compared to Francesca, we subtract Francesca's cost from Phil's cost:
[tex]\[ \text{Difference} = 39 - 13 = 26 \][/tex]
Therefore, Phil pays [tex]\( \boxed{\$26} \)[/tex] more than Francesca.
