A pack of paper costs $1.75, including tax. Mr. Valentino wants to purchase packs of paper for his class and has a $25 budget. Write and solve an inequality to solve for the number of packs of paper Mr. Valentino can purchase, and describe the graph of the solution.

Answer 1

Let x be the number of packs of paper Mr. Valentino can purchase.

Since each pack of paper costs $1.75, the total cost of x packs of paper will be 1.75x.

Given that Mr. Valentino has a budget of $25, we can write the following inequality:

1.75x ≤ 25

To solve for x, we divide both sides of the inequality by 1.75:

x ≤ 25 / 1.75
x ≤ 14.29

Since Mr. Valentino cannot purchase a fraction of a pack of paper, the maximum number of packs he can purchase is 14.

The graph of this solution is a closed circle at x = 14 on the number line, indicating that Mr. Valentino can purchase up to 14 packs of paper while staying within his budget.