To find out how many miles Keisha would run in 57 minutes at the same rate, we first need to determine her running rate in miles per minute.
Keisha runs 5 miles in 38 minutes. So, her running rate is:
\[ \text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{5 \text{ miles}}{38 \text{ minutes}} \approx 0.1316 \text{ miles per minute} \]
Next, we'll calculate how many miles she could run in 57 minutes:
\[ \text{Distance} = \text{Rate} \times \text{Time} = \left(\frac{5}{38} \text{ miles per minute}\right) \times 57 \text{ minutes} \]
Calculating this:
\[ \text{Distance} = \frac{5 \times 57}{38} = \frac{285}{38} \approx 7.5 \text{ miles} \]
Therefore, at the same rate, Keisha would run approximately 7.5 miles in 57 minutes.