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 practical meaning of the d-intercept? a. Initially the car is 355 miles from its destination. b. Initially the car is 420 miles from its destination. c. Initially the car is 65 miles from its destination. d.Initially the car is 485 miles from its destination.

Answer 1

The answer would be B.

Answer 2

Answer: b. Initially the car is 420 miles from its destination.

Step-by-step explanation:

The equation of a line in slope intercept form is given by :-

$y=mx+c$, where m is slope and c is the y-intercept.

Given : The distance (in miles) from its destination and the time (in hours) is given by the equation :

$d=420-65t$

Which can be written as

$d=-65t+420$

It implies the d-intercept = 420

We know that the intercept of any function tells its initial value.

It means the initial distance of car from its destination = 420 miles

Hence, the practical meaning of the d-intercept is "initially the car is 420 miles from its destination".