Question

A store buys and sells used video games. The store sells used games for $15 each

You bring several games that you can sell to the store for $9 each. You have $100
and want to leave the store with at least $55. Write and graph an inequality to
represent the numbers of video games that you can buy and sell.

Answer 1

To represent the number of video games that you can buy and sell, you can write the inequality 9x + 15y >= 45. This inequality can be graphed by shading the area above or on the line 9x + 15y = 45.

Step-by-step explanation:

To write the inequality to represent the number of video games that you can buy and sell, we need to consider the amount of money you have and the amount of money you want to leave the store with. Let's assume you can buy x games and sell y games.

The cost of buying x games would be 9x dollars. The amount of money you want to leave the store with is 55 dollars. So, the inequality would be: 9x + 15y >= 100 - 55, which simplifies to 9x + 15y >= 45.

To graph this inequality, we can plot the solutions on a graph with the x-axis representing the number of games bought and the y-axis representing the number of games sold. We can shade the area above or on the line 9x + 15y = 45 to represent the valid solutions.