Answer:
The constant of proportionality is 9.5
Step-by-step 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
Hope this helps :)