Heather is going shopping. She has no more than [tex] \$ 35.00 [/tex] to spend. She wants to buy a pair of shoes for [tex] \$ 14.95 [/tex] and some scarves for [tex] \$ 6.25 [/tex] each.

Which inequality can Heather use to determine how many scarves, [tex] s [/tex], she can buy?

A. [tex] 6.25s + 14.95 \ \textgreater \ 35 [/tex]
B. [tex] 6.25s + 14.95 \leq 35 [/tex]
C. [tex] 6.25s + 14.95 \ \textless \ 35 [/tex]
D. [tex] 6.25s + 14.95 \geq 35 [/tex]

Sure! Let's walk through the problem step by step:

Heather has at most [tex]$35.00 to spend. She plans to buy a pair of shoes costing $[/tex]14.95 and some scarves that cost [tex]$6.25 each. We need to find out how many scarves, represented by $ s $, she can buy without exceeding her budget.

1. Identify what Heather is buying:
- A pair of shoes costing $[/tex]14.95.
- Scarves costing [tex]$6.25 each.

2. Write an expression for Heather's spending:
- If Heather buys $ s $ scarves, the cost of the scarves will be $ 6.25s $.
- Including the shoes, the total cost Heather will spend can be expressed as $ 6.25s + 14.95 $.

3. Set up the inequality:
- Heather's total spending must not exceed $[/tex]35.00. Therefore, we write the inequality:

[tex]\[
6.25s + 14.95 \leq 35
\][/tex]

4. Conclusion:
- The inequality [tex]$ 6.25s + 14.95 \leq 35 $[/tex] represents the condition that Heather can use to determine how many scarves she can buy while staying within her budget.

This inequality shows the relationship between the number of scarves Heather can buy and her budget constraint.