Question

Find the rate of change.

Time(hours) Distance (miles)
4 252
6 378
8 504
10 630
(1 point)
Responses

163
; The car travels 1 mile every 63 hours.

1 63 ; The car travels 1 mile every 63 hours.

10; The car travels 1 mile every 63 hours

10; The car travels 1 mile every 63 hours

631
; The car travels 63 miles every 1 hour.

63 1 ; The car travels 63 miles every 1 hour.

252; The car travels 252 miles.

Answer 1

To find the rate of change (i.e., the speed of the car in miles per hour), we can analyze the distance travelled over time.

We can use the data provided:

- At 4 hours, the distance is 252 miles.
- At 6 hours, the distance is 378 miles.
- At 8 hours, the distance is 504 miles.
- At 10 hours, the distance is 630 miles.

To find the rate of change, we can calculate the change in distance and divide it by the change in time.

For example, between 4 hours and 10 hours:
- Change in distance = 630 miles - 252 miles = 378 miles
- Change in time = 10 hours - 4 hours = 6 hours

Now we can find the rate of change:
\[
\text{Rate of change} = \frac{\text{Change in distance}}{\text{Change in time}} = \frac{378 \text{ miles}}{6 \text{ hours}} = 63 \text{ miles per hour}
\]

Thus, the correct response is:
**63 1; The car travels 63 miles every 1 hour.**