A car is driving towards home at 0.5 miles per minute. If the car is 4 miles from home at t=0 , which of the following can represent the distance that the car has left to drive? Explain your reasoning.
A. 0.5t
B. 4+0.5t
C. 4-0.5t
D. 4(0.5t)

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Answer:

the answer is D

The distance that the car has left to drive can be represented as option (D) 4(0.5t) is the correct answer.

What is speed?

The speed is the rate of change of position of an object in any direction. Speed tells us how fast or slow an object travels and describes the distance traveled divided by the time taken to cover the distance.

For the given situation,

The speed of the car,S = 0.5 miles per minute

Let the time be t.

Let the distance be D.

The distance between the car and the home = 4 miles.

The formula that relates speed, distance and time is

[tex]Speed=\frac{Distance}{time}[/tex]

⇒ [tex]Distance=(Speed)(time)[/tex]

Here initially at t=0, the car is 4 miles apart from the home and it travels at 0.5 miles per minute, so the equation can be represented as

⇒ [tex]D=4(0.5t)[/tex]

Hence we can conclude that the distance that the car has left to drive can be represented as option (D) 4(0.5t) is the correct answer.

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