Q:

Driver A travels at a slower rate than Driver B. Both drivers travel at a constant rate.This table represents Driver A.Time (h) 0.5 2 3.5 5Number of miles driven 31.25 125 218.75 312.5Which equation could represent Driver B?Time in hours is represented by x and number of miles driven is represented by y.Select each correct answer.A. y = 64xB. y = 60xC. y = 66xD. y = 62x

Accepted Solution

A:
Answer:Speed of Driver A = [tex]\frac{\text{Number of miles Driven}}{Time} = \frac{31.25}{0.5}=\frac{125}{2}=\frac{218.75}{3.5}=\frac{312.5}{5}=62.50 miles/hour[/tex]Speed of Driver B = [tex]\frac{y}{x}[/tex] , where y is number of miles driven and x is time taken.As given Driver A travels at a slower rate than Driver B.Speed of Driver A = 62.5 miles/hourSo, Speed of Driver B should be greater than 62.5 miles / hour.In option A and C Speed of Driver B is 64 miles/hour and 66 miles/hour . In Both the cases Speed of Driver B is greater than Driver A.So option A and C are true which are : y = 64 x and y = 66 x