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.