Question

A car is traveling on a highway. The distance (in miles) from its destination and the time (in hours) is given by the equation d=420-65t. What is the slope of the line represented by the equation? What is the practical meaning of the slope? a. m=420; The total distance is 420 miles. b. m=65; The car is traveling 65 miles per hour. c. m=-65; The car is traveling 65 miles per hour. d. m=-420; The total distance is 355 miles.

Answer 1

The slope would be -65 and this would indicate the the car is going 65 miles per hour, as it is being subtracted from the distance.
Your answer would be C

Answer 2

m=-65; The car is traveling 65 miles per hour. Option C

Explanation:

Given that, time 't' and distance 'd'.

Equation for distance 'd' in terms of time 't' is given by;

d = 420 - 65t

d = -65t + 420

We need to find the slope of linear equation.

Slope is coefficient of t, that is -65

So, slope of the line (m) = -65

Here practical definition of slope is, car covered the distance in a hour is 65 miles.

So, m = -65

and the car is travelling 65 miles per hour.

That's the final answer.