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Answer :
To solve the problem and determine which inequality Heather can use to decide how many scarves she can buy, we need to carefully analyze the given situation.
1. Total Money Available: Heather has no more than [tex]$35.00 to spend.
2. Cost of Shoes: Heather wants to buy a pair of shoes that costs $[/tex]14.95.
3. Cost of Scarves: Each scarf costs [tex]$6.25.
We need to determine how many scarves, represented by \( s \), Heather can buy without spending more than $[/tex]35.00 in total.
### Setting Up the Inequality
1. Total Spending: Heather's total spending is the sum of the cost of the shoes and the cost of the scarves she buys. This can be expressed as:
[tex]\[
\text{Total Cost} = \text{Cost of Shoes} + \text{Cost of Scarves}
\][/tex]
The cost of the scarves is represented by [tex]\( 6.25 \cdot s \)[/tex].
2. Writing the Equation: Plugging in the given values, the total cost equation becomes:
[tex]\[
\text{Total Cost} = 14.95 + 6.25s
\][/tex]
where [tex]\( s \)[/tex] is the number of scarves.
3. Setting Up the Inequality: Since Heather cannot spend more than [tex]$35.00, the inequality is:
\[
14.95 + 6.25s \leq 35
\]
This inequality accurately represents the condition that Heather's total spending must be less than or equal to $[/tex]35.00. Therefore, the correct inequality for Heather to use is:
[tex]\[
6.25s + 14.95 \leq 35
\][/tex]
This inequality helps Heather determine the maximum number of scarves she can purchase while staying within her budget.
1. Total Money Available: Heather has no more than [tex]$35.00 to spend.
2. Cost of Shoes: Heather wants to buy a pair of shoes that costs $[/tex]14.95.
3. Cost of Scarves: Each scarf costs [tex]$6.25.
We need to determine how many scarves, represented by \( s \), Heather can buy without spending more than $[/tex]35.00 in total.
### Setting Up the Inequality
1. Total Spending: Heather's total spending is the sum of the cost of the shoes and the cost of the scarves she buys. This can be expressed as:
[tex]\[
\text{Total Cost} = \text{Cost of Shoes} + \text{Cost of Scarves}
\][/tex]
The cost of the scarves is represented by [tex]\( 6.25 \cdot s \)[/tex].
2. Writing the Equation: Plugging in the given values, the total cost equation becomes:
[tex]\[
\text{Total Cost} = 14.95 + 6.25s
\][/tex]
where [tex]\( s \)[/tex] is the number of scarves.
3. Setting Up the Inequality: Since Heather cannot spend more than [tex]$35.00, the inequality is:
\[
14.95 + 6.25s \leq 35
\]
This inequality accurately represents the condition that Heather's total spending must be less than or equal to $[/tex]35.00. Therefore, the correct inequality for Heather to use is:
[tex]\[
6.25s + 14.95 \leq 35
\][/tex]
This inequality helps Heather determine the maximum number of scarves she can purchase while staying within her budget.
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