Question

Alonso has $460 to spend at a bicyclestore for some new gear and bikingoutfits. Assume all prices listed includetax.• He buys a new bicycle for $270.71.•He buys 4 bicycle reflectors for $3.09each and a pair of bike gloves for$33.71.• He plans to spend some or all of themoney he has left to buy new bikingoutfits for $68.20 each.Write and solve an inequality which canbe used to determine x, the number ofoutfits Alonso can purchase while stayingwithin his budget.>Inequality:XîVIAI>

Answer 1

Solution:

$\begin{gathered} 68.20x+307.51\leq460 \\ x\leq2.236 \end{gathered}$

Analysis:

We have a budget of $ 460. In the first step, we need to calculate the total amount of money spent on a bicycle, reflectors, and bike gloves.

$Total\text{ }amount\text{ }spent=270.71+(4\ast3.09)+33.71=316.78$

When we calculate the amount spent, we can write the inequation:

$68.20x+316.78\leq460$

X would be the number of outfits and adding to 316.78, it has to be less or equal to 460.

Now, let's