https://file.aiquickdraw.com/mathbot/file/17273691913426fo31t0g.jpg

Let's analyze the question and solve it step by step.

Nora has $580 to spend, and the purchases she has made so far are:

1. A new bicycle for $285.41.
2. Four bicycle reflectors at $17.33 each: 
   \[
   4 \times 17.33 = 69.32
   \]
3. A pair of bike gloves for $31.25.

Her total spending before considering any biking outfits is:
\[
285.41 + 69.32 + 31.25 = 385.98
\]

Now, she wants to buy "o" biking outfits, each costing $47.25. Her remaining budget for the biking outfits is:
\[
580 - 385.98 = 194.02
\]

The inequality should represent how many biking outfits she can afford while staying within her budget. So, the inequality becomes:
\[
47.25o + 385.98 \leq 580
\]

Among the choices, the correct inequality is:
\[
47.25o + 385.98 \leq 580
\]

This corresponds to the third option in the image:
\[
385.98 + 47.25o \leq 580
\]

Would you like further details or have any questions?

Here are 5 related questions:

1. How do you solve for the maximum number of biking outfits, $ o $, based on the inequality?
2. What would happen if Nora had an additional discount on the biking outfits?
3. How would the solution change if each biking outfit cost more or less than $47.25?
4. Can Nora afford to buy more outfits if she spends less on the bike gloves or reflectors?
5. What would the inequality look like if Nora decided to spend a fixed amount less than $580?

**Tip:** Always double-check the costs and the total to ensure that all items are included correctly when solving budget-related inequalities.

Nora has $580 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 $285.41. She buys 4 bicycle reflectors for $17.33 each and a pair of bike gloves for $31.25. She plans to spend some or all of the money she has left to buy new biking outfits for $47.25 each. Which inequality can be used to determine o, the maximum number of outfits Nora can purchase while staying within her budget?

Explore how to use inequalities to determine the maximum number of biking outfits Nora can buy within a $580 budget. This problem involves algebraic concepts and budgeting, making it ideal for students in Grades 7-9.

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