Lesson 16

Solving Systems of Equations Algebraically

The Pet-Sitting Battle

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Lily and Noah both want to start pet-sitting businesses in their neighborhood. They each have a different strategy for how to get started.

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Lily

Lily went all in — she printed professional flyers, bought treats, leashes, and a pet first-aid kit. She spent $12 on supplies. She charges $8 per pet because she offers premium care.

\text{Earnings} = 8 \times \text{pets} - 12

🐈

Noah

Noah kept it simple — he just texted some neighbors and offered to help out. No setup cost at all. He charges $5 per pet to keep prices low.

\text{Earnings} = 5 \times \text{pets}

Lily invested up front but charges more. Noah plays it safe with zero risk. Who ends up ahead?