Question
I'm planning a road trip from New York to Los Angeles. Can you calculate my average rate of change if I drove 2,796 miles in 39 hours?
Answers
GPT-4o mini
To calculate the average rate of change for your road trip from New York to Los Angeles, you can use the formula for average rate of change, which is:
\[
\text{Average Rate of Change} = \frac{\text{Change in Distance}}{\text{Change in Time}}
\]
In your case, the change in distance is 2,796 miles and the change in time is 39 hours. Plugging in these values:
\[
\text{Average Rate of Change} = \frac{2796 \text{ miles}}{39 \text{ hours}} \approx 71.69 \text{ miles per hour}
\]
So, your average rate of change (or average speed) for the trip would be approximately **71.69 miles per hour**.
\[
\text{Average Rate of Change} = \frac{\text{Change in Distance}}{\text{Change in Time}}
\]
In your case, the change in distance is 2,796 miles and the change in time is 39 hours. Plugging in these values:
\[
\text{Average Rate of Change} = \frac{2796 \text{ miles}}{39 \text{ hours}} \approx 71.69 \text{ miles per hour}
\]
So, your average rate of change (or average speed) for the trip would be approximately **71.69 miles per hour**.