Answer:
These rates DO NOT form a proportion.
Step-by-step explanation:
Two quantities P and Q are said to be in proportion is and only if:
[tex]\frac{P}{Q} = k[/tex] for all values of P and Q.
here, k = Proportionality Constant.
Case 1: when P = 21 miles , Q = 6 hours
[tex]\frac{P}{Q} = \frac{21}{6} = 3.5[/tex]
⇒ k 1 = 3.5
Case 2: when P = 14.3 miles , Q = 3 hours
[tex]\frac{P}{Q} = \frac{14.3}{3} = 4.76[/tex]
⇒ 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.
