True or False:The following pair of ratios forms a proportions. 3/2 and 18/8

Answer: False

Step-by-step explanation: When we are asked to determine whether two ratios form a proportion, what we are really being asked to do is to determine whether the ratios are equal because if the ratios are equal, then we know they form a proportion.

So in this problem, we need to determine whether 3/2 = 18/8. The easiest way to determine whether 3/2 = 18/8 is to use cross products. If the cross products are equal, then the ratios are equal.

The cross products for these two ratios are 3 x 8 and 2 x 18.

Since 3 x 8 is 24 and 2 x 18 is 36, we can easily see that 24 ≠ 36 so the cross products are not equal which means that the ratios are not equal and since the ratios are not equal, we know that they do not form a proportion.

So the answer is false. 3/2 and 18/8 do not form a proportion.

Correct answer: False

Step-by-step explanation:

coeff c = 3/2 = 1,5 coeff c₁ = 18/8 = 2,25

c ≠ c₁

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