What is the constant of proportionality that relates Matthew's earnings, y, to the number of hours he worked, x?

Question

Remember, the constant of proportionality is k = y/x and can be found using any point on the line.
Matthew's Earnings
Earnings (dollars)

114
128
96
80
64
48
16
1 2 3 4 5 6 7 8 9
Time (hours)
(1 point
( so per hour
O $12 per hour
O $15 per hour
$16 per hour

Answer 1

To find the constant of proportionality that relates Matthew's earnings, we can use the formula k = y/x, where k is the constant, y is the earnings, and x is the number of hours worked.

Let's choose one of the data points to calculate the constant of proportionality. We can use the point (6, 48), where Matthew worked 6 hours and earned $48.

k = y/x
k = 48/6
k = 8

Therefore, the constant of proportionality that relates Matthew's earnings to the number of hours he worked is 8.