The table shows the number of miles driven over time.
Time (hours)
4
6
8
10
Distance (miles)
204
306
408
510
Express the relationship between distance and time in simplified form as a unit rate. Determine which statement correctlv interprets this relationship.
To determine the unit rate of the relationship between distance and time, we divide the distance by the time:
Unit Rate = Distance / Time
In this case, we can calculate the unit rate for each data point:
For the first data point: Unit Rate = 204 miles / 4 hours = 51 miles/hour
For the second data point: Unit Rate = 306 miles / 6 hours = 51 miles/hour
For the third data point: Unit Rate = 408 miles / 8 hours = 51 miles/hour
For the fourth data point: Unit Rate = 510 miles / 10 hours = 51 miles/hour
The unit rate for all data points is 51 miles/hour.
Therefore, the correct interpretation of this relationship is that the person is driving at a constant speed of 51 miles/hour.