To find the rate at which a person is traveling when they cover 434 miles in 7 hours, we need to divide the total distance by the total time.
Step 1: Write down the formula for rate. The rate can be calculated using the formula:
[tex]\[ \text{Rate} = \frac{\text{Distance}}{\text{Time}} \][/tex]
Step 2: Identify the given values:
- Distance = 434 miles
- Time = 7 hours
Step 3: Substitute these values into the formula:
[tex]\[ \text{Rate} = \frac{434 \text{ miles}}{7 \text{ hours}} \][/tex]
Step 4: Divide the distance by the time to find the rate:
[tex]\[ \text{Rate} = \frac{434}{7} = 62 \text{ miles per hour} \][/tex]
Thus, when you travel 434 miles in 7 hours, the rate is [tex]\( 62 \)[/tex] miles per hour.