Question

keilantra has $660 to spend at a bicycle store for some new gear and biking outfits. assume all prices listed include tax.

• she buys a new bicycle for $488.20.
• she buys 2 bicycle reflectors for $11.17 each and a pair of bike gloves for $19.05.
• she plans to spend some or all of the money she has left to buy new biking outfits for $37.26 each.

write and solve an inequality which can be used to determine ( x ), the number of outfits keilantra can purchase while staying within her budget.
answer attempt 1 out of 2
inequality: (square)
( x ) (square) (square)

Explanation:

Step1: Calculate total spent on reflectors

The cost of 2 reflectors is $2\times11.17 = 22.34$.

Step2: Calculate total initial spending

Add the cost of bicycle, reflectors, and gloves: $488.20 + 22.34 + 19.05 = 529.59$.

Step3: Set up the inequality

Let $x$ be the number of outfits. The total cost (bicycle + reflectors + gloves + outfits) must be less than or equal to 660. So the inequality is $488.20 + 2\times11.17 + 19.05 + 37.26x \leq 660$. Simplifying the left - hand side: $529.59+37.26x\leq660$.

Step4: Solve the inequality for x

Subtract 529.59 from both sides: $37.26x\leq660 - 529.59 = 130.41$. Then divide both sides by 37.26: $x\leq\frac{130.41}{37.26}\approx3.5$. Since $x$ represents the number of outfits, it must be a non - negative integer, so $x\leq3$.

Answer:

Inequality: $488.20 + 2\times11.17+19.05 + 37.26x\leq660$
$x\leq3$