### Problem Statement:Tariq has $640 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 $291.24.- He buys 4 bicycle reflectors for $19.56 each and a pair of bike gloves for $16.52.- He plans to spend some or all of the money he has left to buy new biking outfits for $50.80 each.Write and solve an inequality which can be used to determine $ x $, the number of outfits Tariq can purchase while staying within his budget.### Inequality Formulation:1. Calculate the total cost of items already purchased: - Total cost of the bicycle: $291.24. - Total cost of bicycle reflectors: 4 reflectors * $19.56 each = $78.24. - Total cost of the bike gloves: $16.52. - Total cost of already purchased items: $291.24 + $78.24 + $16.52 = $386.2. Determine the remaining budget: - Initial budget: $640. - Remaining budget after purchases: $640 - $386 = $254.3. Setup the inequality for the number of biking outfits (each costing $50.80): - $ 50.80x \leq 254 $.### Inequality Solution:- Solve the inequality: $ x \leq \frac{254}{50.80} $- $ x \leq 5 $### Conclusion:Tariq can purchase a maximum of 5 biking outfits while staying within his budget.

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Assume all prices listed include tax. • He buys a new bicycle for $291.24. • He buys 4 bicycle reflectors for $19.56 each and a pair of bike gloves for $16.52. • He plans to spend some or all of the money he has left to buy new biking outfits for $50.80 each. Write and solve an inequality which can be used to determine x, the number of outfits Tariq can purchase while staying within his budget. > store for some new gear and biking outfits. < 2 Inequality:

Assume all prices listed include tax. • He buys a new bicycle for $291.24. • He buys 4 bicycle reflectors for $19.56 each and a pair of bike gloves for $16.52. • He plans to spend some or all of the money he has left to buy new biking outfits for $50.80 each. Write and solve an inequality which can be used to determine x, the number of outfits Tariq can purchase while staying within his budget. > store for some new gear and biking outfits. < 2 Inequality:

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

### Problem Statement:

Tariq has $640 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 $291.24.
- He buys 4 bicycle reflectors for $19.56 each and a pair of bike gloves for $16.52.
- He plans to spend some or all of the money he has left to buy new biking outfits for $50.80 each.

Write and solve an inequality which can be used to determine $ x $, the number of outfits Tariq can purchase while staying within his budget.

### Inequality Formulation:

1. Calculate the total cost of items already purchased:
- Total cost of the bicycle: $291.24.
- Total cost of bicycle reflectors: 4 reflectors * $19.56 each = $78.24.
- Total cost of the bike gloves: $16.52.
- Total cost of already purchased items: $291.24 + $78.24 + $16.52 = $386.

2. Determine the remaining budget:
- Initial budget: $640.
- Remaining budget after purchases: $640 - $386 = $254.

3. Setup the inequality for the number of biking outfits (each costing $50.80):
- $ 50.80x \leq 254 $.

### Inequality Solution:
- Solve the inequality: $ x \leq \frac{254}{50.80} $
- $ x \leq 5 $

### Conclusion:
Tariq can purchase a maximum of 5 biking outfits while staying within his budget.

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