Jeremy rides his bike at a rate of 15 miles per hour. Below is a table that represents the number of hours and miles Kevin rides. Assume both bikers ride at a constant rate. Which biker rides at a greater speed? Include all of your calculations in your final answer.
Time in hours (x) Distance in miles (y)
1.5 17.25
2 23
3.5 40.25
4 46
To find Kevin's speed, we need to use the formula speed = distance/time.
For the first data point:
Kevin's speed = 17.25 miles / 1.5 hours = 11.5 miles per hour
For the second data point:
Kevin's speed = 23 miles / 2 hours = 11.5 miles per hour
For the third data point:
Kevin's speed = 40.25 miles / 3.5 hours = 11.5 miles per hour
For the fourth data point:
Kevin's speed = 46 miles / 4 hours = 11.5 miles per hour
Therefore, Kevin's speed is constant at 11.5 miles per hour.
Since Jeremy rides his bike at a rate of 15 miles per hour, he rides at a greater speed than Kevin.