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Linear Functions

SAT Math· difficulty 5/5

Two phone plans: A(t)=20+0.10tA(t) = 20 + 0.10t and B(t)=5+0.20tB(t) = 5 + 0.20t (cost vs. minutes tt). Beyond what number of minutes is plan A cheaper?

  • A

    200200

  • B

    5050

  • C

    100100

  • D

    150150

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Explanation

20+0.10t<5+0.20t⇒15<0.10t⇒t>15020 + 0.10t < 5 + 0.20t \Rightarrow 15 < 0.10t \Rightarrow t > 150.

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