Question

The following scenario represents a proportional relationship.

Jerome's dry cleaning fee was $19.50 for 3 pairs of pants.

What is the constant of proportionality?

Answer 1

6.5

Explanation:

Proportional relationship:

`y \propto x \implies y=kx`

where k is the (non-zero) constant of proportionality.

To determine the constant of proportionality, substitute the given values into the equation and solve for k:

• x = 3
• y = 19.50

`\implies 19.50=3k`

`\implies k=6.5`

Therefore, the constant of proportionality is 6.5.