Question

D) y=4+x

6) Find the constant of proportionality for the table below then write an equation
Hours (x)
2
4
6
Tickets Sold (y)
24
48
72

Answer 1

Answer: For each hour worked, the number of tickets sold increases by 12.

Explanation:

The constant of proportionality for the table can be found by dividing the value of y by the value of x for one of the data points. For example, when x = 2, y = 24, so the constant of proportionality k can be found as follows:

k = y/x = 24/2 = 12

So, the equation relating the number of hours worked, x, to the number of tickets sold, y, can be written as y = kx, where k is the constant of proportionality, which we found to be 12.

Thus, the equation relating the number of hours worked, x, to the number of tickets sold, y, can be written as:

y = 12x

This equation states that for each hour worked, the number of tickets sold increases by 12.