Question

Determine whether the two ratios form a proportion. 30/ 24 and 42/35

Answer 1

Answer:

We conclude that the two rations do not form a proportion.

Hence, the correct answer is 'N0'.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

Here, k is called the constant of proportionality.

In our case,

Given the ratios

30/24 and 42/35

Checking 30/24

k = 30/24

k = 15/12

k = 5/4

Checking 42/35

k = 42/35

k = 6/5

It is clear that

5/4       ≠      6/5

so

30/24   ≠    42/35

It means the constant of proportionality 'k' is not the same. Thus, the ratios do not form a proportion.

Therefore, we conclude that the two rations do not form a proportion.

Hence, the correct answer is 'N0'.