Question

directions
hamburgers and hot dogs
use the information below for the following questions.
coach howard is selling hamburgers and hot dogs at the concession stand during a soccer tournament.
the table shows several hamburger sales, with some data missing.
the graph shows hot dog sales during the tournament.
on the graph for hot dog sales, y represents the cost, in dollars, and x represents the number of hot dogs sold.
which equation correctly identifies the relationship between the cost and the number of hot dogs?
$x = 2y$
$y = 2x$
$x = 20y$
$y = 20x$

Explanation:

Step1: Identify variables

$y$ is cost, $x$ is number of hot - dogs.

Step2: Analyze relationship

Cost is usually a multiple of the number of items sold. If the cost per hot - dog is a constant, the equation is of the form $y = kx$, where $k$ is the cost per hot - dog.

Step3: Eliminate wrong forms

The forms $x = 2y$ and $x = 20y$ are incorrect as they represent number of hot - dogs in terms of cost in an incorrect way. We expect cost $y$ to be a multiple of number of hot - dogs $x$.

Step4: Consider reasonable cost

If we assume a reasonable cost per hot - dog, $y = 2x$ is more likely than $y = 20x$ (a hot - dog usually doesn't cost $20$ dollars).

Answer:

$y = 2x$