Question

The table below shows a proportional relationship between s and t.

Find the constant of proportionality from ss to tt. Express your answer as a fraction in reduced terms.

Answer 1

To find the constant of proportionality from ss to tt, we need to identify the relationship between the two variables. The constant of proportionality is 6/1.

To find the constant of proportionality from ss to tt, we need to identify the relationship between the two variables.

We can do this by finding the ratio of ss to tt for each pair of values given in the table:

For the first pair, s = 54 and t = 9, the ratio is 54/9 = 6/1.

For the second pair, s = 108 and t = 18, the ratio is 108/18 = 6/1.

For the third pair, s = 120 and t = 20, the ratio is 120/20 = 6/1.

Since the ratio is the same for all pairs, the constant of proportionality is 6/1. Therefore, the constant of proportionality from ss to tt is 6/1.