Question

A car is traveling on the highway at a constant speed of 68 miles per hour. If the car is making a 430-mile trip, which function, d (t), represents the number of miles left in the trip when the car has been traveling for t hours? A. d(t) = 430 – 68t B. d(t) = 430 + 68tC. d(t) = (430 - 68) D. d(t) = (430 + 68)

Answer 1

A. d(t) = 430 – 68t

Step-by-step explanation

The speed of the car is 68 miles per hour.

The total distance of the trip is 430 miles.

If the time the car has travelled is t hours, then, we can calculate the distance the car has travelled by using the formula for speed:

Speed = distance / time

=> 68 = distance / t

=> distance = 68 * t

distance = 68t miles

So, in t hours, the car had traveled 68t miles.

Therefore, t find the miles left in the trip, d(t), we can subtract the miles traveled from the total distance.

That is:

d(t) = 430 - 68t

The correct answer is Option A.