At a Concession Stand at a High School Football Game $x \geq 0$

Essay

At a concession stand at a high school football game, the owner notices that the relationship between the price of a hot dog and the number of hot dogs sold is linear. If the price is $2.00 per
hot dog, then approximately 600 are sold each night. If the price is raised to $3.00, then the number sold drops to 450 per night.
a. Make a graph with the price of hot dogs on the x-axis and the number of hot dogs sold on the y-axis. Use the points (2.00, 600) and (3.00, 450). Then graph the line through the points with $x \geq 0$ .
b. Find an equation of the line through the points. Write the equation in slope-intercept form.
c. Use the equation from part (b) to predict the number of hot dogs that would sell if the price were
raised to $3.50. Round to the nearest whole unit.