Question
10.
Find the rate of change for the situation.
You run 7 miles in one hour and 14 miles in two hours.
Find the rate of change for the situation.
You run 7 miles in one hour and 14 miles in two hours.
Answers
GPT-4o mini
To find the rate of change in this situation, we can look at the distance covered per hour.
1. **Calculate the rates:**
- In the first scenario, you run 7 miles in 1 hour. The rate is:
\[
\text{Rate}_1 = \frac{7 \text{ miles}}{1 \text{ hour}} = 7 \text{ miles per hour}
\]
- In the second scenario, you run 14 miles in 2 hours. The rate is:
\[
\text{Rate}_2 = \frac{14 \text{ miles}}{2 \text{ hours}} = 7 \text{ miles per hour}
\]
2. **Compare the rates:**
Both rates are the same, which is 7 miles per hour.
Thus, the rate of change for both situations is consistent at **7 miles per hour**.
1. **Calculate the rates:**
- In the first scenario, you run 7 miles in 1 hour. The rate is:
\[
\text{Rate}_1 = \frac{7 \text{ miles}}{1 \text{ hour}} = 7 \text{ miles per hour}
\]
- In the second scenario, you run 14 miles in 2 hours. The rate is:
\[
\text{Rate}_2 = \frac{14 \text{ miles}}{2 \text{ hours}} = 7 \text{ miles per hour}
\]
2. **Compare the rates:**
Both rates are the same, which is 7 miles per hour.
Thus, the rate of change for both situations is consistent at **7 miles per hour**.