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Question
jason has $540 to spend at a bicycle store for some new gear and biking outfits. assume all prices listed include tax. - he buys a new bicycle for $217.34. - he buys 4 bicycle reflectors for $9.08 each and a pair of bike gloves for $12.18. - he plans to spend some or all of the money he has left to buy new biking outfits for $68.54 each. write and solve an inequality which can be used to determine o, the number of outfits jason can purchase while staying within his budget. answer attempt 1 out of 2 inequality: o
Step1: Calculate total spent on reflectors
$\text{Total reflectors cost} = 4 \times 9.08 = 36.32$
Step2: Calculate total spent so far
$\text{Total spent} = 217.34 + 36.32 + 12.18 = 265.84$
Step3: Set up budget inequality
Total cost ≤ total budget: $265.84 + 68.54o \leq 540$
Step4: Isolate the variable term
$68.54o \leq 540 - 265.84$
$68.54o \leq 274.16$
Step5: Solve for o
$o \leq \frac{274.16}{68.54}$
$o \leq 4$
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Inequality: $265.84 + 68.54o \leq 540$
$o \leq 4$