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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.

Respuesta :

Answer:

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

Step-by-step explanation:

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

[tex]s(t)=-4t+35[/tex]

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.