Calculating Unit Rates

\begin{tabular}{|c|c|}
\hline
Price & Gallons Purchased \\
\hline
\[tex]$3.50 & 1 \\
\hline
\$[/tex]a & 3 \\
\hline
\[tex]$b & 5 \\
\hline
\$[/tex]c & 7 \\
\hline
\end{tabular}

Mary Lou is with her mother at the gas station. She is trying to figure out how much it will cost to fill up the car's gas tank. Use the unit rate to complete the table for the price of each quantity of gasoline.

[tex]\[
\begin{array}{l}
a = \square \\
b = \square \\
c = \square
\end{array}
\][/tex]



Answer :

To help Mary Lou figure out the cost to fill up the car's gas tank, we need to use the unit rate of [tex]$3.50 per gallon and apply it to different quantities (3, 5, and 7 gallons) as given in the table. 1. For 3 gallons: To find the cost for 3 gallons, we multiply the unit price ($[/tex]3.50 per gallon) by the number of gallons (3).

[tex]\[ a = 3 \text{ gallons} \times \$3.50/\text{gallon} = \$10.50 \][/tex]

2. For 5 gallons:
To find the cost for 5 gallons, we multiply the unit price ([tex]$3.50 per gallon) by the number of gallons (5). \[ b = 5 \text{ gallons} \times \$[/tex]3.50/\text{gallon} = \[tex]$17.50 \] 3. For 7 gallons: To find the cost for 7 gallons, we multiply the unit price ($[/tex]3.50 per gallon) by the number of gallons (7).

[tex]\[ c = 7 \text{ gallons} \times \$3.50/\text{gallon} = \$24.50 \][/tex]

Putting these values in the table, we get:

\begin{tabular}{|c|c|}
\hline Price & Gallons Purchased \\
\hline[tex]$\$[/tex] 3.50[tex]$ & 1 \\ \hline$[/tex]\[tex]$ 10.50$[/tex] & 3 \\
\hline[tex]$\$[/tex] 17.50[tex]$ & 5 \\ \hline$[/tex]\[tex]$ 24.50$[/tex] & 7 \\
\hline
\end{tabular}

In conclusion:
[tex]\[ \begin{array}{l} a = \$10.50 \checkmark \\ b = \$17.50 \checkmark \\ c = \$24.50 \checkmark \end{array} \][/tex]