To complete the table for the miles traveled by a motorcycle, given that it can travel 48 miles for every gallon of gas used, we can use the unit rate to calculate the number of miles traveled for different amounts of gallons used.
1. The unit rate is 48 miles per gallon. This means for every gallon of gas, the motorcycle travels 48 miles.
2. To find the miles traveled for 2 gallons of gas:
- We multiply the unit rate (48 miles per gallon) by 2 gallons.
- [tex]\(48 \times 2 = 96\)[/tex]
- So, the value of [tex]\(a\)[/tex] is [tex]\(96\)[/tex].
3. To find the miles traveled for 3 gallons of gas:
- We multiply the unit rate (48 miles per gallon) by 3 gallons.
- [tex]\(48 \times 3 = 144\)[/tex]
- So, the value of [tex]\(b\)[/tex] is [tex]\(144\)[/tex].
4. To find the miles traveled for 4 gallons of gas:
- We multiply the unit rate (48 miles per gallon) by 4 gallons.
- [tex]\(48 \times 4 = 192\)[/tex]
- So, the value of [tex]\(c\)[/tex] is [tex]\(192\)[/tex].
Now, let's fill in the table:
[tex]\[
\begin{tabular}{|c|c|}
\hline
\text{Miles Traveled} & \text{Gallons of Gas Used} \\
\hline
48 & 1 \\
\hline
96 & 2 \\
\hline
144 & 3 \\
\hline
192 & 4 \\
\hline
\end{tabular}
\][/tex]
So the complete values are:
[tex]\[
a = 96 \\
b = 144 \\
c = 192
\][/tex]
