A carnival has two payment options. Plan A, you pay $10 admission plus $3 for each ride. Plan B, you pay a $20 admission plus $1 for each ride. Write an inequality that would express the situation where plan B is the best buy,

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Mathematics

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30 December, 00:36

A carnival has two payment options. Plan A, you pay $10 admission plus $3 for each ride. Plan B, you pay a $20 admission plus $1 for each ride. Write an inequality that would express the situation where plan B is the best buy,

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Alfred Washington · Answer 1

Let x = # of rides

Plan A: 10 + 3x

Plan B: 20 + x

if x < 5 rides then plan A is better buy

if x = 5 both plans are the same

if x > 5 then plan B is the best buy

Prove:

x = 6 (rides)

plan A: 10 + 3x = 10 + 3 (6) = 10+18 = $28

plan B: 20 + x = 20 + 6 = $26