Questions: (a) Austin runs 9 miles in 74 minutes. How many minutes does he take per mile? (b) At Keller's Bike Rentals, it costs 33 to rent a bike for 6 hours. How many hours of bike use does a customer get per dollar?

Solution Steps

To find out how many minutes Austin takes per mile, we need to divide the total time by the total distance. Austin runs 9 miles in 74 minutes.

\[ \text{Minutes per mile} = \frac{74 \text{ minutes}}{9 \text{ miles}} = \frac{74}{9} \approx 8.2222 \]

Rounding to the nearest hundredth, we get:

\[ \text{Minutes per mile} \approx 8.22 \]

To find out how many hours of bike use a customer gets per dollar, we need to divide the total hours by the total cost. It costs \$33 to rent a bike for 6 hours.

\[ \text{Hours per dollar} = \frac{6 \text{ hours}}{33 \text{ dollars}} = \frac{6}{33} \approx 0.1818 \]

Rounding to the nearest hundredth, we get:

\[ \text{Hours per dollar} \approx 0.18 \]

Final Answer