The amount of money, 𝑦, that Valentina earns at her job after working 𝑥 hours is given by the direct variation equation 𝑦 = 12.5𝑥. Identify the constant of proportionality. What does the constant of proportionality represent?

Question

The constant of proportionality is 12.5, and it represents the number of hours Valentina works each week at her job.

The constant of proportionality is 12.5, and it represents Valentina’s hourly wage.

The constant of proportionality is 1/12.5, and it represents the amount of money Valentina earns each week at her job.

The constant of proportionality is 1/12.5, and it represents the amount of money Valentina earns each hour at her job.

GPT-4o mini · Answer

The correct answer is: **The constant of proportionality is 12.5, and it represents Valentina’s hourly wage.** In the equation $y = 12.5x$, the constant of proportionality $12.5$ indicates that for every hour $x$ that Valentina works, she earns $12.50.