The inequality that can be used to determine x, the maximum number of outfits Luis can purchase while staying within his budget is x ≤ 4
<h3>How to solve inequality?</h3>
Luis has $420 to spend at a bicycle store for some new gear and biking outfits.
- He buys a new bicycle for $209.67.
- He buys 2 bicycle reflectors for $6.04 each and a pair of bike gloves for $25.77.
- He plans to spend some or all of the money he has left to buy new biking outfits for $37.16 each.
Therefore,
x = maximum number of outfits Luis can purchase while staying within his budget.
Hence, the inequality that can be used to represent the situation is as follows;
209.67 + 6.04(2) + 25.77 + 37.16x ≤ 420
235.44 + 12.08 + 37.16x ≤ 420
247.52 + 37.16x ≤ 420
37.16x ≤ 420 - 247.52
37.16x ≤ 172.48
divide both sides by 37.16
x ≤ 4.64155005382
x ≤ 4
Therefore, the inequality that can be used to determine x, the maximum number of outfits Luis can purchase while staying within his budget is x ≤ 4
learn more on inequality here: brainly.com/question/24565096
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