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avid has $ 540 $540 to spend at a bicycle store for some new gear and biking outfits. Assume all orices listed include tax.
  • He buys a new bicycle for $ 298.79 $298.79.
  • He buys 3 bicycle reflectors for $ 8.13 $8.13 each and a pair of bike gloves for $ 21.79 $21.79.
  • He plans to spend some or all of the money he has left to buy new biking outfits for $ 79.43 $79.43 each.
    Which inequality can be used to determine x x, the maximum number of outfits David can purchase while staying within his budget?
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We can use the inequality x 2 x <= 2, as shown in the previous answer, to determine the maximum number of outfits David can purchase while staying within his budget.
To show an example, let’s say David decides to purchase 2 outfits. The total cost of the outfits will be 2 × $ 79.43 = $ 158.86 2xx$79.43=$158.86. We need to make sure this total cost is less than or equal to the amount David has left to spend:
$ 540 ( $ 298.79 + $ 24.39 + $ 21.79 + $ 158.86 ) = $ 36.17 $540-($298.79+$24.39+$21.79+$158.86)=$36.17
Since the amount David has left after buying the outfits is positive, we know that purchasing 2 outfits is within his budget.
Thus, David can purchase a new bicycle, 3 bicycle reflectors, a pair of bike gloves, and 2 biking outfits for $ 298.79 + $ 24.39 + $ 21.79 + 2 ( $ 79.43 ) = $ 483.84 $298.79+$24.39+$21.79+2($79.43)=$483.84, which is within his budget of $ 540 $540.
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