Question

During your morning workout, you run for 20 seconds for every 3 seconds you sprint. Determine the constant of proportionality for the ratio between the number of seconds you run and the number of seconds you sprint.​

Answer 1

Answer:

Constant of proportionality; k = 20/3

Step-by-step explanation:

Let running be A and sprinting be B.

Now, we are told that you run 20 seconds for every 3 seconds you sprint.

This means that is directly proportional to B and written as; A ∝ B.

Now, constant of proportionality is simply the ratio between 2 quantities that are directly proportional.

Thus, A = kB

Where k is the constant of proportionality

Plugging in the values of A and B we are given, we have;

20 = 3k

Divide both sides by 3 to get;

k = 20/3