The table shows the number of miles driven over time.

Question

Time (hours)
Distance (miles)
4
6
8
204
306
408
10
510
Express the relationship between distance and time in simplified form as a unit rate. Determine which statement correctly interprets this relationship.
(1 point)
051 1 your car travels 51 miles every 1 hour.
204; your car travels 204 miles.
1 51; your car travels 51 miles every 1 hour.
10; your car travels for 10 hours.

Answer 1

The unit rate can be calculated by dividing the distance by the time.

For example, at 4 hours, the distance is 6 miles. So, the unit rate at that time is 6 miles / 4 hours = 1.5 miles per hour.

Using this same calculation method, the unit rates at the other times are:

At 8 hours: 204 miles / 8 hours = 25.5 miles per hour
At 10 hours: 510 miles / 10 hours = 51 miles per hour

Therefore, the correct statement that interprets this relationship is: 1 51; your car travels 51 miles every 1 hour.