Question

One type of fabric costs $31.25 for 5 square yards. Another type of fabric costs $71.50 forsquare yards. Is the relationship between the humber of square yards and the costproportional between the two types of fabric?

Answer 1

This problem is about proportions.

We need to remember that a proportion is an equality between two ratios.

This problem is giving us two ratios.

Ratio 1: $31.25 for 5 square yards.

Ratio 2: $71.50 for 11 square yards.

Now, we form the equality

$\frac{31.25}{5}=\frac{71.50}{11}$

Then, we divide each fraction

$6.25=6.5$

As you can observe, this result is false, which means the initial ratios are not in the same proportion.

Therefore, the relationship is not proportional.