Question

The table shows the relationship between the number of hours, h, John has been hiking and the total distance, d, he has traveled in kilometers.

Answer 1

In order to determine who is faster it is necessary to calculate the rate of change for both table and graph.

Use the following formula for the rate of change:

m = (d2 - d1)/(h2 - h1)

where (h1,d1) and (h2,d2) are two points on the line or any pair of values on the table.

John:

use (d1,h1) = (0,0) and (d2,h2) = (1,4):

m = (4-0)/(1-0) = 4

Sara:

use (h1,d1) = (0,0) and (h2,d2) = (1,5)

m = (5 - 0)/(1-0) = 5

You can notice that the rate of change of Sara is greater then the rate of change of John.

Hence, you can conclude that Sara is faster than John