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Which question is the same rate as this question?

(A) What is the rate of change of the following function? f(x) = x^2 + 2x + 1
(B) What is the speed of a car that travels 100 miles in 2 hours
(C) What is the interest rate on a loan of $10,000 that is repaid in 5 years with monthly payments of $200
(D) What is the price of a dozen eggs if each egg costs $0.25

1 Answer

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Final answer:

The question 'What is the speed of a car that travels 100 miles in 2 hours?' poses the same rate as 'How long will it take the car to travel 100 m?' as both involve calculating a rate of travel, namely speed.

Step-by-step explanation:

The question that poses the same rate as 'How long will it take the car to travel 100 m?' is 'B - What is the speed of a car that travels 100 miles in 2 hours?'. Both questions are concerned with determining the rate of travel over a certain distance, which in the context of these questions is equivalent to speed. Option B involves dividing distance by time to find speed (rate), while the original question seeks the time (rate) it takes to cover a fixed distance at a certain speed.

Both questions are related to Physics as they deal with the concept of speed, but they are also fundamentally mathematical in nature, especially within the subject of algebra where rates and linear equations are commonly addressed.

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