Question

Do these rates form a proportion?
21 miles in 6hours and 14.3 miles in 3 hours

Answer 1

These rates DO NOT form a proportion.

Explanation:

Two quantities P and Q are said to be in proportion is and only if:

`(P)/(Q) = k` for all values of P and Q.

here, k = Proportionality Constant.

Case 1: when P = 21 miles , Q = 6 hours

`(P)/(Q) = (21)/(6) = 3.5`

⇒ k 1 = 3.5

Case 2: when P = 14.3 miles , Q = 3 hours

`(P)/(Q) = (14.3)/(3) = 4.76`

⇒ k 2 = 4.76

As we can see in both the cases, k 1 ≠ k 2

Hence, P is NOT PROPORTIONAL to Q.

So, these rates DO NOT form a proportion.