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.

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.

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