Find the slope of the line and write the slope as a rate of change. Don't forget to attach the proper units.
-The graph shows the total cost y (in dollars)of owning and operating a minivan where x is the number of miles driven.
A)$2.00 per mile
B)$21.00 per mile
C)$0.50 per mile
D)cannot be determined

Question

Find the slope of the line and write the slope as a rate of change. Don't forget to attach the proper units.
-The graph shows the total cost y (in dollars)of owning and operating a minivan where x is the number of miles driven. 
A)$2.00 per mile 
B)$21.00 per mile 
C)$0.50 per mile 
D)cannot be determined

Quizplus · Accepted Answer

To find the slope, we need to determine the rate of change of the cost (y) with respect to the miles driven (x). From the graph, we can see that for every 4 miles driven (from x = 8 to x = 12), the total cost increases by $2 (from y = $12 to y = $14). Therefore, the slope is $2/4 = $0.50 per mile. To find the slope, we need to find the change in y over the change in x. From the graph, we can see that when x increases by 100 miles, y increases by $50. Therefore, the slope (rate of change) is $50/100 miles, which simplifies to $0.50 per mile. Therefore, the answer is choice C.

Find the Slope of the Line and Write the Slope