Question

Luis rides his bicycle 3/4 mile in 5 minutes along the bike trail. Using the table, find the constant of proportionality.

Hours 1/12 12/12
Miles 3/4 36/4

Answer 1

The constant of proportionality is 9.

Explanation:

To find the constant of proportionality, you can use the formula:

Constant of Proportionality = (Miles) / (Hours)

In this case, Luis rides his bicycle 3/4 mile in 5 minutes, which is equivalent to 1/12 of an hour. So, the formula becomes:

Constant of Proportionality = (3/4) / (1/12)

To divide fractions, you can multiply by the reciprocal of the second fraction:

Constant of Proportionality = (3/4) * (12/1)

Now, multiply the numerators and denominators:

Constant of Proportionality = (3 * 12) / (4 * 1)

Constant of Proportionality = 36 / 4

Simplify the fraction:

Constant of Proportionality = 9