Question

For the past several years, the high school theater department has performed a musical in their auditorium. Each year since the first, they have raised ticket prices by $0.25, however the department has also noticed a decline in the number of people attending each year. This year, they are analyzing the ticket prices, attendance, and sales to determine the ticket price that maximizes their sales.

The table shows their ticket sales with respect to the number of times they have increased the price of a ticket.

Ticket Price Increases 1 2 3 4 5 6
Ticket Sales $4,306.25 $4,375.00 $4,406.25 $4,400.00 $4,356.25 $4,275.00

Select the true statement.

A.
The independent variable is the ticket sales, and the dependent variable is the number of ticket price increases.
B.
The independent variable is the ticket sales, and the dependent variable is the ticket price.
C.
The independent variable is the ticket price, and the dependent variable is the ticket sales.
D.
The independent variable is the number of ticket price increases, and the dependent variable is the ticket sales.

Answer 1

D. The independent variable is the number of ticket price increases, and the dependent variable is the ticket sales.

Explanation:

The wording, "the table shows A with respect to B" means that "B" is the independent variable. Here, "B" is "the number of times they have increased the price of the ticket." That is ...

the independent variable is the number of ticket price increases