Question

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 5
Number of miles driven 31.25 125 218.75 312.5
Which 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 = 64x

B. y = 60x

C. y = 66x

D. y = 62x

Answer 1

Speed of Driver A =
`\frac{\text{Number of miles Driven}}{Time} = (31.25)/(0.5)=(125)/(2)=(218.75)/(3.5)=(312.5)/(5)=62.50 miles/hour`

Speed of Driver B =
`(y)/(x)` , 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/hour

So, 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