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

question 34

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.

---

Definitions:

Caregiving

The act of providing support and assistance to individuals who are unable to perform daily activities themselves due to age, illness, or disability.

Cardiac Arrest

A sudden cessation of heart function, leading to a lack of blood flow to the body's organs, requiring immediate medical intervention.

Death Trajectory

The course of dying, including the duration and quality of the dying process, from the point of diagnosis of a terminal condition until death.

Frail Elderly

Older adults with significant physical or cognitive deterioration, often requiring assistance with daily activities.