Every 3 hours, a machine produces 150 baskets. What is the unit rate of this proportional relationship in baskets per hour?

Options:
A. 50 baskets per hour is the correct answer.
B. 1 basket per 150 hours is not correct.
C. 150 baskets per 3 hours is not the unit rate; it's just the rate without simplifying to the unit rate.
D. 3 baskets per 50 hours is not correct.
E. 50 hours per 1 basket is not correct.
F. 1 hour per 50 baskets is not correct.

Question

22-01-2024
Mathematics

High School

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Every 3 hours, a machine produces 150 baskets. What is the unit rate of this proportional relationship in baskets per hour?

Options:
A. 50 baskets per hour is the correct answer.
B. 1 basket per 150 hours is not correct.
C. 150 baskets per 3 hours is not the unit rate; it's just the rate without simplifying to the unit rate.
D. 3 baskets per 50 hours is not correct.
E. 50 hours per 1 basket is not correct.
F. 1 hour per 50 baskets is not correct.

Answer :

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Final answer:

The correct unit rate of the given proportional relationship, in which the machine produces 150 baskets every 3 hours, is 50 baskets per hour.

Explanation:

The question here is about finding the unit rate of a proportional relationship. The given relationship is that the machine produces 150 baskets every 3 hours. To find the unit rate, we need to find out how many baskets the machine produces in 1 hour.

By dividing the total baskets with the total hours (150/3), we get 50 baskets per hour, which is the unit rate for this proportional relationship. So, the machine produces 50 baskets per hour on average.

Option a is the correct answer: 50 baskets per hour. The other options are not correct because they either do not simplify the rate to a unit rate, or they reflect incorrect proportional relationships. Unit rates are an important concept in mathematics because they allow us to compare different rates effectively.

Learn more about Unit Rate here:

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