Question

the data in the table represent the relative distance, in miles, between a car and a particular mile marker on a highway over time. what does the slope of the linear equation that models the data indicate? a. the car traveled at 62 miles per hour. c. the car started out 19 miles from the mile marker. b. the car traveled 59 miles the second hour. d. the car traveled away from the marker at 19 miles per hour.

Answer 1

Using linear function concepts, it is found that the correct option regarding the meaning of the slope is as follows:

d. the car traveled away from the marker at 19 miles per hour.

What is a linear function?

A linear function is modeled by:

$y = mx + b$

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0.

In this problem, the output is the distance in miles between two cars, while the input is the time, hence the slope would mean by how much the distance between the cars increased each hour, which means that option d is correct.

More can be learned about linear function concepts at https://brainly.com/question/24808124