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