Question

A landscaping worker charges $45.75 to cut 3 acres of grass and $76.25 to cut 5 acres of grass. What is the constant of proportionality in terms of dollars per acre?

Answer 1

The constant of proportionality in terms of dollars per acre is $15.25.

Step-by-step explanation:

To find the constant of proportionality in terms of dollars per acre, we need to calculate the cost per acre for both scenarios.

For the first scenario, the worker charges $45.75 to cut 3 acres of grass.

So, the cost per acre is $45.75 / 3 = $15.25.

For the second scenario, the worker charges $76.25 to cut 5 acres of grass.

So, the cost per acre is $76.25 / 5 = $15.25.

Therefore, the constant of proportionality in terms of dollars per acre is $15.25.