To express "320 miles on 34 gallons" as a rate in simplest form, follow these steps:
1. Identify the quantities and their units: We have 320 miles and 34 gallons.
2. Write the rate as a ratio: The rate should be expressed as miles per gallon. Thus, we set up the ratio as:
[tex]\[
\frac{320 \text{ miles}}{34 \text{ gallons}}
\][/tex]
3. Simplify the ratio: To simplify the rate, we divide the number of miles by the number of gallons:
[tex]\[
\frac{320 \text{ miles}}{34 \text{ gallons}} = 9.411764705882353 \text{ miles per gallon}
\][/tex]
Therefore, the rate of 320 miles on 34 gallons, simplified, is approximately 9.41 miles per gallon.