Question

A movie theater has increased their ticket prices. They are shown below

The graph shows the proportional relationship of the cost of movie tickets. Using the graph determine the constant of proportionality, k.

Answer 1

k = 12

Explanation:

Given in the question,

Cost of the the movie tickets is proportional to the number of tickets sold.

Cost of movie tickets (C) ∝ number of tickets sold (T)

C ∝ T

C = kT

Here 'k' is a proportionality constant.

Since, line given in the graph passes through a point (5, 60)

60 = k(5)

k =
`(60)/(5)`

k = 12

Therefore, value of proportionality constant is 12.