Question

A coach is choosing between two options for a team tournament. *
At Facility A, the entry fee is $8 per person, and 2 coaches must attend.

At Facility B, the entry fee is $9 per person, and 1 coach must attend.

At each facility, the same price applies to both coaches and players.

What does the solution to the inequality

8(n+2) < 9(n+1)
*
1 point
That Facility A costs less when there are more than 7 players
That Facility A costs less when there are fewer than 7 players
That Facility A costs more than Facility B
That Facility A costs less than Facility B
What are the next steps in solving this equation: 5x + 14 = 54
Step 1: 5x = 40
*
1 point
Divide both sides by 40
Divide both sides by 5
Multiply both sides by 5
Subtract 40 from both sides
What property would you use to get to the next step?
Original Equation: 2(x + 10) = 40
*
1 point
Distributive Property
Combine Like Terms
Addition Property
Division Property

Answer 1

1) That Facility A costs less when there are more than 7 players.
- Solve: 8(n+2) < 9(n+1) → 8n+16 < 9n+9 → 16 < n+9 → n > 7.

2) Divide both sides by 5.
- From 5x + 14 = 54 → 5x = 40, next step is x = 40/5 = 8.

3) Distributive Property.
- 2(x+10) = 40 → 2x + 20 = 40 via the distributive property.