Question

The changing speed of a car is modeled by the function S(t) = –4t + 35, where t is time in seconds. Interpret the model.

A. The car has an initial speed of 0 units and is speeding up to a speed of 35 units by 4 units per second.
B. The car has an initial speed of 4 units and is speeding up by 35 units per second.
C. The car has an initial speed of 35 units and is slowing down by 4 units per second.
D. The car has an initial speed of 35 units and is speeding up by 4 units per second.

Answer 1

The car has an initial speed of 35 units and is slowing down by 4 units per second.

Explanation:

The changing speed of a car is modeled by the function :

`s(t)=-4t+35`

t is time in seconds

Initial speed means at t = 0

s(0) = 35 units

Here the change in speed is negative, it means that the car is slowing down by this rate.

So, the correct answer is : The car has an initial speed of 35 units and is slowing down by 4 units per second.