The barber cuts 61 haircuts in 4 days. Determine the rate for a ratio of the two different quantities.

61 over 65 haircuts per day
4 over 65 haircuts per day
4 over 61 haircuts per day
61 over 4 haircuts per day

The correct ratio for the rate is:

61 over 4 haircuts per day

To determine the rate for a ratio of two different quantities, divide the numerator by the denominator.

1. For 61 over 65 haircuts per day:
The rate is 61 divided by 65, which is approximately 0.9385.

2. For 4 over 65 haircuts per day:
The rate is 4 divided by 65, which is approximately 0.0615.

3. For 4 over 61 haircuts per day:
The rate is 4 divided by 61, which is approximately 0.0656.

4. For 61 over 4 haircuts per day:
The rate is 61 divided by 4, which is 15.25.

Therefore, the correct answer is: The rate for a ratio of the two different quantities is 61 over 4 haircuts per day.