Adrian works 20 hours per week and receives 190. what is the vonstant of proportionality

The constant of proportionality is 9.5

Explanation:

The relation we are given between the hours worked and the amount of money received is a direct proportional relation

A direct proportion relation between two quantities means that when one of the them increases, the other would increase with a fixed rate and vice versa

This relation is represented using the following general equation:

y = kx where k is the constant of proportionality

Now, we are given that:

Adrian works 20 hours (x = 20, independent variable) and earns $190 (y = 190, dependent variable)

We substitute with these givens in the general equation and solve for k

This is done as follows:

y = kx

190 = 20k

k = 9.5

This means that the constant of proportionality is 9.5

Additional information:

The constant of proportionality in this problem represents Adrian's hourly rate

The equation is:

Amount earned = Hourly rate * number of hours worked

We have:

y is the amount earned

k is the hourly rate (constant of proportionality)

x is the number of hours worked

The final equation is:

y = 9.5x

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