The changing speed of a car is modeled by the function S(t) = −35t + 30, 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 30 units by 35 units per second.
B. The car has an initial speed of 35 units and is speeding up by 30 units per second.
C. The car has an initial speed of 30 units and is slowing down by 35 units per second.
D. The car has an initial speed of 30 units and is speeding up by 35 units per second.

Respuesta :

The car has an initial speed of 30 units and is slowing down by 35 units per second ⇒ answer C

Step-by-step explanation:

The form of the linear function is f(x) = m x + b, where

  • m is the rat of change
  • b is the initial value

The changing speed of a car is modeled by the function s(t) = -35t + 30, where t is time in seconds.

We need to interpret the model

∵ The changing speed of a car is modeled by s(t) = -35t + 30

- Compare between the model and the form of the linear function

∴ m = -35 and b = 30

The initial speed is 30 units

∴ The speed is changing by -35 units per second

- If the value of change of the speed is negative, means the

  car is slowing down by this rate

The car is slowing down by 35 units per second

The car has an initial speed of 30 units and is slowing down by 35 units per second

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You can learn more about linear function in brainly.com/question/4326955

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