shawn has \( \$ 600 \) 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 \( \$ 237.49 \). He buys 3 bicycle reflectors for \( \$ 14.57 \) each and a pair of bike gloves for \( \$ 34.52 \). He plans to spend some or all of the money he has left to buy new biking outfits for \( \$ 71.07 \), each. se the drop-down menu below to write an inequality representing \( o \), the number of outfits he can buy while staying within his budget.
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Beyond the Answer
First, let's calculate how much Shawn has spent so far. He buys a new bicycle for \( \$ 237.49 \) and 3 reflectors at \( \$ 14.57 \) each, so that’s \( 3 \times 14.57 = 43.71 \). Adding in the bike gloves which cost \( \$ 34.52 \) gives us: \[ \text{Total spent} = 237.49 + 43.71 + 34.52 = 315.72 \] Now, subtract that from his total budget of \( \$ 600 \): \[ 600 - 315.72 = 284.28 \] Now, we can find out how many outfits he can buy. Let \( o \) be the number of outfits he can buy at \( 71.07 \) each. Thus, we set up the inequality: \[ 71.07o \leq 284.28 \] This inequality represents the maximum number of outfits Shawn can buy while staying within his budget. --- Now, about bicycles and denim: Did you know that the first bicycles were invented in the early 19th century? They were called "dandy horses" and had no pedals! Riders would run and scoot along with their feet. 🐴✨ And if you're ever confused at a bike store about which gear you really need versus what might just look cool, remember this: focus on safety first! Reflectors and gloves can be essential, especially if you’re riding at night or in cooler weather. Happy biking! 🚴♂️💨
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