Question

coach kirby is forming dodgeball teams from students in her physical education class. she wants teams that each have 6 students. there are fewer than 48 students in the class, so coach kirby cant form as many full teams as she wants. let x represent how many full teams coach kirby can form. which inequality describes the problem? 6x < 48 6x > 48 solve the inequality. then, complete the sentence to describe the solution. coach kirby can form fewer th full teams.

Explanation:

Part 1: Determine the inequality

Step1: Analyze the total students

Each team has 6 students, and \( x \) is the number of full teams. So total students in full teams is \( 6x \).

Step2: Compare with total class size

The class has fewer than 48 students, so \( 6x < 48 \).

Part 2: Solve the inequality

Step1: Start with the inequality

We have \( 6x < 48 \).

Step2: Divide both sides by 6

Divide each side by 6: \( \frac{6x}{6} < \frac{48}{6} \), which simplifies to \( x < 8 \).

Answer:

• The inequality is \( 6x < 48 \).
• Solving it gives \( x < 8 \), so Coach Kirby can form fewer than 8 full teams.