Question

A customer has $10 to spend at the concession stand. Hotdogs cost $2 each and drinks cost $2.50 each. Graph the inequality that illustrates this situation. Use the space below to explain what the answer means.

Answer 1

Answer:

Please refer to the graph in the attached area.

Step-by-step explanation:

Given:

Total money available with the customer is $10.

Cost of each hotdog is $2.

Cost of each drink is is $2.50.

To find:

The graph of inequality.

Solution:

Let number of hotdogs bought = $x$

Total cost of hotdogs = $2x$

Let number of drinks bought = $y$

Total cost of drinks = $2.5y$

Total cost = $2x+2.5y$

And total money available is $10.

So, the total cost calculated above must be lesser than or equal to $10.

Hence, the inequality is:

$2x+2.5y<10$

Also there will be two conditions on variables $x$ and $y$:

$x\ge0\\y\ge0$

To graph this, let us find the points on the equivalent equation:

$2x+2.5y = 10$

Finding two points on the equation.

First put x = 0 $\Rightarrow$ y = 4    

Then put y = 0, $\Rightarrow$ x = 5

So, two points are (0, 4) and (5, 0).

Now, plotting the line.

Having point (1,2) in the inequality:

2 + 5 < 10 (True) hence, the graph of inequality will contain the point (1,2)

Please refer to the graph of inequality in the attached graph.