Final answer:
The pair of ratios (17/10, 12/5) do not form a proportion because their cross-products are not equal (85 ≠ 120). To form a proportion, the cross-products must be equivalent.
Step-by-step explanation:
To determine whether the pair of ratios (17/10, 12/5) forms a proportion, we can cross-multiply and see if the products are equal. This is how you test for equivalent ratios.
For the given ratios, 17/10 and 12/5, cross-multiplication yields:
Since 85 is not equal to 120, the two ratios 17/10 and 12/5 do not form a proportion.
A unit rate is a type of ratio where the second term is 1. For instance, 55 miles per hour can be represented as a unit rate of 55/1 miles/hour.
A unit scale is a ratio that compares a dimension of an object to its representation (e.g., on a map or a model). An example of a unit scale is 1 inch on a map representing 100 feet in reality, which can be written as 1 inch/100 ft ratio.