Question

Which ratios have a unit rate of 57. Choose ALL that apply.

A) 3 kilometers: minute
B) 10 kilometers: 1 minute
C) 1 kilometer: 5 minutes
D) 1 kilometers: 2 minutes
E) 1 kilometer: minute
F) 1 kilometer: 1 minute

Answer 1

None of the given ratios have a unit rate of 57.

Step-by-step explanation:

Unit rates indicate how much of one quantity corresponds to one unit of another quantity. A unit rate of 57 means that for every one unit of the first quantity, there is 57 units of the second quantity. Let's check which ratios have a unit rate of 57:

1. A) 3 kilometers: minute - To get the unit rate, we need to divide the distance by time. 3 kilometers divided by 1 minute is equal to 3 kilometers per minute, which is not 57, so this ratio does not have a unit rate of 57.
2. B) 10 kilometers: 1 minute - Dividing 10 kilometers by 1 minute gives us 10 kilometers per minute, which is not 57. Therefore, this ratio does not have a unit rate of 57.
3. C) 1 kilometer: 5 minutes - Dividing 1 kilometer by 5 minutes gives us 0.2 kilometers per minute, which is not 57. Hence, this ratio does not have a unit rate of 57.
4. D) 1 kilometer: 2 minutes - Dividing 1 kilometer by 2 minutes gives us 0.5 kilometers per minute, which is not 57. Thus, this ratio does not have a unit rate of 57.
5. E) 1 kilometer: minute - As the numerator has a unit of 1 and the denominator does not have a specific value, we cannot determine the unit rate for this ratio.
6. F) 1 kilometer: 1 minute - Dividing 1 kilometer by 1 minute gives us 1 kilometer per minute, which is not 57. Therefore, this ratio does not have a unit rate of 57.

Therefore, none of the given ratios have a unit rate of 57.