Question

dylan decides to takes his friends to a movie with $50 of his birthday money. he must take one adult with him. an adult ticket costs $9.75. each child ticket cost $6.25. which of the following inequalities can be used to determine the maximum number of friends dylan could take with him to the movies? 9.75x+6.25 ≥ 50 9.75x+6.25 ≤ 50 6.25x+9.75 ≥ 50 6.25x+9.75 ≤ 50

Explanation:

Step1: Define Variables

Let \( x \) be the number of friends (child tickets). The adult ticket cost is a fixed \( \$9.75 \), and each child ticket costs \( \$6.25 \), so the total cost for \( x \) friends is \( 6.25x \), plus the adult ticket cost \( 9.75 \).

Step2: Analyze Total Cost Constraint

Dylan has \( \$50 \), so the total cost (adult ticket + child tickets) must be less than or equal to \( 50 \). So the inequality is \( 6.25x + 9.75 \leq 50 \).

Answer:

\( 6.25x + 9.75 \leq 50 \) (the fourth option, assuming the fourth option is \( 6.25x + 9.75 \leq 50 \))