The total cost of a ticket order varies directly with the number of tickets you buy. If you spend $400 on concert tickets for your family of 8 people, what is the constant of variation? (In other words, how much is the cost per ticket!)

Question

$5 per ticket

$2 per ticket

$3200 per ticket

$50 per ticket

Answer 1

To find the constant of variation (the cost per ticket), we need to divide the total cost by the number of tickets purchased.

You have spent $400 on concert tickets for 8 people.

The cost per ticket can be calculated as follows:

\[ \text{Cost per ticket} = \frac{\text{Total cost}}{\text{Number of tickets}} = \frac{400}{8} = 50 \]

So, the constant of variation (cost per ticket) is $50 per ticket.