Choice C is the correct answer. Let $p$ be the number of people.

Service 1: $C_1 = 200 + 25p$Service 2: $C_2 = 150 + 30p$

Set equal: $200 + 25p = 150 + 30p$$200 - 150 = 30p - 25p$$50 = 5p$$p = 10$

Solution: 10 people

Verification:

• Service 1: $200 + 25(10) = 450$
• Service 2: $150 + 30(10) = 450$ ✓

💡 Strategic Tip: Break-even analysis finds where two linear models intersect.

Choice A is incorrect because at 8: Service 1 = $400, Service 2 =$390.

Choice B is incorrect because at 12: Service 1 = $500, Service 2 =$510.

Choice D is incorrect because at 15: Service 1 = $575, Service 2 =$600.