Question

A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car can travel on 7 gallons of gas?
StartFraction 3 over 63 EndFraction = StartFraction m over 7 EndFraction
StartFraction 7 over 63 EndFraction = StartFraction m over 3 EndFraction
StartFraction 63 over 3 EndFraction = StartFraction m over 7 EndFraction
StartFraction 63 over 7 EndFraction = StartFraction m over 3 EndFraction

Answer 1

To determine how many miles, \( m \), the car can travel on 7 gallons of gas based on the information that 3 gallons allow the car to travel 63 miles, you can set up the following proportion:

\[
\frac{3}{63} = \frac{7}{m}
\]

This is equivalent to stating that the ratio of the gallons (3 gallons for 63 miles) is the same as the ratio of the new gallons (7 gallons) to the unknown miles \( m \).

Thus, the correct option from your choices is:
\[
\frac{3}{63} = \frac{m}{7}
\]

However, since this option is not explicitly listed, we can rearrange the provided options to identify the relevant one. The appropriate logic can alternatively be expressed as:

\[
\frac{63}{3} = \frac{m}{7}
\]

So based on the options you provided, the correct proportion would be:
\[
\frac{63}{3} = \frac{m}{7}
\]

This means the answer is:
\[
\frac{63}{3} = \frac{m}{7}
\]