Question

Jeremy sold 36 tickets to the school play and collected $144. Maggie sold 48 tickets and collected $192. If this relationship is graphed with the number of tickets sold on the x-axis and the money collected from ticket sales on the y-axis, what will the constant of proportionality of the graph represent?

A.The number of tickets which can be bought for 1 dollar.
B.The price, in dollars, of 1 ticket.
C. The money collected if 0 tickets are sold.
D. The fraction of tickets still available for sale.

Answer 1

The constant of proportionality in this graph represents the price, in dollars, of 1 ticket.

Step-by-step explanation:

The constant of proportionality in this graph represents the price, in dollars, of 1 ticket. The constant of proportionality represents the ratio between the number of tickets sold and the money collected, which is the same as the price per ticket. To find the constant of proportionality, we can use the formula:

Constant of Proportionality = Money Collected / Number of Tickets Sold

In this case, for Jeremy, the constant of proportionality is $144 / 36 = $4, and for Maggie, the constant of proportionality is $192 / 48 = $4 as well.

Therefore, the answer is B. The price, in dollars, of 1 ticket.