Question

Micaela is in charge of ordering supplies for her office. She needs a $10 calendar and 5 identical desk organizers. If her boss said she could spend no more than $300 total, what is the inequality that represents how much Micah can afford to spend on each desk organizer?

a) 10+5x≤300
b) 5x≤300−10
c) 10x≤300
d) 10+5x≥300

Answer 1

The inequality that represents how much Micaela can spend on each desk organizer, after buying a $10 calendar and staying within a $300 budget, is b) 5x ≤ 300−10.

Step-by-step explanation:

The problem involves calculating an inequality to determine how much Micaela can afford to spend on each desk organizer while staying within the budget set by her boss. The total amount Micaela can spend is $300, and she needs to purchase a $10 calendar. Subtracting this cost from the total budget leaves $290 for the desk organizers. Since she requires 5 identical desk organizers, we represent the maximum amount she can spend on each organizer as x. Therefore, the inequality representing this situation would be 5x ≤ 300 - 10, which simplifies to 5x ≤ 290. Therefore, the correct answer is b) 5x≤ 300−10.