To complete the table showing the price of gasoline for different quantities, we need to use the given unit price of gasoline, which is [tex]$3.50 per gallon.
1. Calculating the price for 3 gallons (\(a\)):
- If 1 gallon costs $[/tex]3.50, then cost for 3 gallons is [tex]$10.50.
- Thus, \(a = \$[/tex]10.50\).
2. Calculating the price for 5 gallons ([tex]\(b\)[/tex]):
- If 1 gallon costs [tex]$3.50, then cost for 5 gallons is $[/tex]17.50.
- Thus, [tex]\(b = \$17.50\)[/tex].
3. Calculating the price for 7 gallons ([tex]\(c\)[/tex]):
- If 1 gallon costs [tex]$3.50, then cost for 7 gallons is $[/tex]24.50.
- Thus, [tex]\(c = \$24.50\)[/tex].
Here is the completed table:
\begin{tabular}{|c|c|}
\hline Price & Gallons Purchased \\
\hline\[tex]$ 3.50 & 1 \\
\hline\$[/tex] 10.50 & 3 \\
\hline\[tex]$ 17.50 & 5 \\
\hline\$[/tex] 24.50 & 7 \\
\hline
\end{tabular}
