Answer :
Let's break down the problem step by step to find the correct inequality that represents the scenario.
1. Cost of the Initial Pairs:
- The first 2 pairs of flip-flops cost [tex]$8.50 each. - Therefore, the total cost for these first 2 pairs is: \[ 2 \times 8.50 = 17 \text{ dollars} \] 2. Cost of Additional Pairs: - Each additional pair of flip-flops costs $[/tex]3.75.
3. Total Expenditure:
- The total amount spent by Mr. Tyler is [tex]$34.75. 4. Formulate the Inequality: - Let \( p \) represent the number of additional pairs of flip-flops Mr. Tyler buys after the initial 2 pairs. - The total cost for these additional pairs is: \[ 3.75p \text{ dollars} \] - Adding the cost of the initial pairs to the cost of the additional pairs, the total expenditure becomes: \[ 17 + 3.75p \] - Since this total expenditure should be less than or equal to $[/tex]34.75, we set up the inequality:
[tex]\[ 17 + 3.75p \leq 34.75 \][/tex]
Given this breakdown, the correct inequality that represents this scenario is:
[tex]\[ 3.75p + 17 \leq 34.75 \][/tex]
Hence, the correct answer is:
B. [tex]\( \boxed{3.75 p + 17 \leq 34.75} \)[/tex]
1. Cost of the Initial Pairs:
- The first 2 pairs of flip-flops cost [tex]$8.50 each. - Therefore, the total cost for these first 2 pairs is: \[ 2 \times 8.50 = 17 \text{ dollars} \] 2. Cost of Additional Pairs: - Each additional pair of flip-flops costs $[/tex]3.75.
3. Total Expenditure:
- The total amount spent by Mr. Tyler is [tex]$34.75. 4. Formulate the Inequality: - Let \( p \) represent the number of additional pairs of flip-flops Mr. Tyler buys after the initial 2 pairs. - The total cost for these additional pairs is: \[ 3.75p \text{ dollars} \] - Adding the cost of the initial pairs to the cost of the additional pairs, the total expenditure becomes: \[ 17 + 3.75p \] - Since this total expenditure should be less than or equal to $[/tex]34.75, we set up the inequality:
[tex]\[ 17 + 3.75p \leq 34.75 \][/tex]
Given this breakdown, the correct inequality that represents this scenario is:
[tex]\[ 3.75p + 17 \leq 34.75 \][/tex]
Hence, the correct answer is:
B. [tex]\( \boxed{3.75 p + 17 \leq 34.75} \)[/tex]
