Question

The following table represents the number of tickets purchased at a movie theatre and the cost of purchase.


# of Tickets Cost          
2 $17
4 $34
6 $51
8 $68


The number of tickets purchased varies directly with the total cost of the purchase. Determine the constant of variation.
$8.50
$17.00
$0.12
$34.00

Answer 1

Let n = kC where n = number of tickets and C = cost. Using (n,C) = (2, 17) gives k = 2/17 ≈ 0.117647 ≈ $0.12. So $0.12 is the constant of variation.