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?
A. the constant of proportionality is 1/12.5, and it represents the amount of money Valentina earns each hour at her job
B. the constant of proportionality is 12.5, and it represents Valentina's hourly wage.
C. the constant of proportionality is 1/12.5, and it represents the amount of money Valentina earns each week at her job
D. the constant of proportionality is 12.5, and it represents the number of hours Valentina works each week at her job
B. the constant of proportionality is 12.5, and it represents Valentina's hourly wage.
The constant of proportionality in the given equation y = 12.5x is 12.5.
Therefore, the correct answer is:
B. the constant of proportionality is 12.5, and it represents Valentina's hourly wage.
The constant of proportionality in this direct variation equation is the number that relates the two variables, x (hours worked) and y (amount of money earned). In the equation y = 12.5x, the constant of proportionality is 12.5.
Therefore, the correct answer is B - the constant of proportionality is 12.5, and it represents Valentina's hourly wage. This means that Valentina earns $12.50 for each hour worked.
To find the constant of proportionality, divide the amount of money (y) by the number of hours worked (x) in any given situation. This will give you the rate at which Valentina earns money per hour.