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A movie theater charges $8.50 for an adult ticket to an evening showing of a popular movie. To help the local animal shelter, the theater management has agreed to reduce the price of each adult ticket by $0.50 for every can of pet food a customer contributes to a collection barrel in the theater lobby. Which of the following shows both an equation in which y represents the cost of an adult ticket in dollars for a customer who contributes x cans of pet food, and the graph of the cost if a customer brings in 2, 5, 8, or 10 cans of pet food?

A movie theater charges $8.50 for an adult ticket to an evening showing of a popular-example-1
User MontyGoldy
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1 Answer

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The equation for the cost of an adult ticket after a discount for donating cans of pet food is y = 8.50 - 0.50x. Points for 2, 5, 8, and 10 cans can be plotted on a graph to show the respective ticket prices of $7.50, $6.00, $4.50, and $3.50.

The equation representing the cost of an adult ticket in dollars, y, for a customer who contributes x cans of pet food is y = 8.50 - 0.50x.

This equation is derived from the initial cost of the ticket, $8.50, minus the discount provided for each can of pet food, $0.50.

To graph the cost for a customer bringing in 2, 5, 8, or 10 cans of pet food, we substitute these values of x into the equation and plot the resulting y values on the graph.

For example, if a customer brings in 2 cans, the cost is calculated as y = 8.50 - 0.50(2) = $7.50.

Similarly, for 5 cans, y = 8.50 - 0.50(5) = $6.00, for 8 cans, y = 8.50 - 0.50(8) = $4.50, and for 10 cans, y = 8.50 - 0.50(10) = $3.50.

These points can be plotted on a graph to visualize the relationship between the number of cans and the ticket price.

User AngeloC
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