Question
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.
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GPT 3.5
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.
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.
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