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 can't form as many full teams as she wants. Let x represent how many full teams Coach Kirby can form. Which inequality describes the problem? Choices: (A)6x 48 (B)6x

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 can't form as many full teams as she wants.  Let x represent how many full teams Coach Kirby can form. Which inequality describes the problem?   Choices: (A)6x > 48 (B)6x < 48    Solve the inequality. Then, complete the sentence to describe the solution. Coach Kirby can form fewer than ____ full teams.

Bytelearn · Accepted Answer

Define the Problem:  Let's define the problem using the variable x, where x is the number of full teams Coach Kirby can form. Each team has 6 students, and there are fewer than 48 students in total. Express Total Students:  To find the correct inequality, we need to express the total number of students using x. Since each team has 6 students, the total number of students in x teams is 6x. Formulate Inequality:  Since there are fewer than 48 students, the inequality that describes this situation is 6x < 48. This means the total number of students in x teams should be less than 48. Solve the Inequality:  To solve the inequality 6x < 48, divide both sides by 6 to isolate x.  x < 48 / 6 x < 8 Final Team Limit:  Coach Kirby can form fewer than 8 full teams, because x, the number of full teams, must be less than 8.

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