Rashawn has $780 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 $481.28. he buys three bicycle reflectors for $10.78 each and a pair of biking gloves for $32 and $0.64. he plans to spend some or all of the money he has left to buy new biking outfits for $44.95 each right and solve and a quality which can be used to determine o the number of outfits rashon can buy while staying within his budget

Answer 1

To determine how many biking outfits Rashawn can buy while staying within his budget after making his purchases, we need to start by calculating how much money he has left after his initial purchases.

1. Initial Budget: $780
2. Cost of Bicycle: $481.28
3. Cost of Bicycle Reflectors: \(3 \text{ reflectors} \times 10.78 \text{ each} = 32.34\)
4. Cost of Biking Gloves: \(32 + 0.64 = 32.64\)

Now we can sum up the costs of the items he has bought:

\[ \text{Total spent} = \text{Cost of Bicycle} + \text{Cost of Reflectors} + \text{Cost of Gloves} \]

\[ \text{Total spent} = 481.28 + 32.34 + 32.64 = 546.26 \]

Next, we calculate how much money Rashawn has left:

\[ \text{Money left} = \text{Initial Budget} - \text{Total spent} \]

\[ \text{Money left} = 780 - 546.26 = 233.74 \]

Now, let \( x \) be the number of biking outfits he wants to buy. Each biking outfit costs $44.95, so the total cost for \( x \) outfits would be \( 44.95x \). To stay within his remaining budget, we can set up the inequality:

\[ 44.95x \leq 233.74 \]

To solve for \( x \):

\[ x \leq \frac{233.74}{44.95} \]

Calculating:

\[ x \leq 5.20 \]

Since Rashawn cannot buy a fraction of an outfit, we round down to the nearest whole number. Therefore, Rashawn can buy a maximum of 5 biking outfits while staying within his budget.

Summary

The inequality to determine the number of outfits Rashawn can buy is:

\[ 44.95x \leq 233.74 \]

And he can buy up to 5 outfits.

Answer 2

The inequality is?

Answer 3

The inequality that can be used to determine the number of biking outfits Rashawn can buy while staying within his budget is:

\[ 44.95x \leq 233.74 \]

Where:

• \(x\) is the number of biking outfits he wants to buy.
• \(44.95\) is the cost of each biking outfit.
• \(233.74\) is the remaining amount of money Rashawn has after his initial purchases.

This inequality states that the total cost of the biking outfits (which is \(44.95x\)) must be less than or equal to \(233.74\).

To find the maximum number of outfits he can buy, you can solve for \(x\) as follows:

\[ x \leq \frac{233.74}{44.95} \]

This will give you the maximum integer value for \(x\) that Rashawn can purchase without exceeding his remaining budget.

Answer 4

Make sure you have the right variables

Answer 5

Let me clarify the variables and the inequality for the situation.

Given:

• Rashawn's total budget: $780
• Cost of the bicycle: $481.28
• Cost of three bicycle reflectors: $10.78 each
• Cost of biking gloves: $32.64 (sum of $32 and $0.64)
• Cost of each biking outfit: $44.95

Purchases Calculation

1. Total spent on reflectors: \[ 3 \times 10.78 = 32.34 \]

2. Total spent on the bicycle: \[ 481.28 \]

3. Total spent on biking gloves: \[ 32 + 0.64 = 32.64 \]

4. Total spent on all items: \[ \text{Total spent} = 481.28 + 32.34 + 32.64 = 546.26 \]

5. Remaining money: \[ \text{Remaining} = 780 - 546.26 = 233.74 \]

Setting Up the Inequality

Let:

• \( x \) = number of biking outfits Rashawn can buy.

The cost of buying \( x \) outfits is: \[ 44.95x \]

To ensure he does not exceed his remaining budget, we can set up the following inequality:

\[ 44.95x \leq 233.74 \]

Conclusion

So, the correct variable and inequality are:

• Variable: \( x \) (number of biking outfits)
• Inequality: \[ 44.95x \leq 233.74 \]

This inequality helps determine how many biking outfits Rashawn can buy without exceeding his remaining budget. To find the maximum number of outfits, you would solve for \( x \):

\[ x \leq \frac{233.74}{44.95} \approx 5.20 \]

Since he can only purchase whole outfits, he can buy a maximum of 5 biking outfits. Thank you for pointing out the need for clarity!