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Linear Functions

SAT Math· difficulty 3/5

A runner burns calories at a rate of 1111 calories per minute. After 4040 minutes she has burned a total of 480480 calories including a warm-up. Which function gives total calories CC after tt minutes (after warm-up)?

  • A

    C(t)=11(t+40)C(t) = 11(t + 40)

  • B

    C(t)=11t+480C(t) = 11t + 480

  • C

    C(t)=11tC(t) = 11t

  • D

    C(t)=11t+40C(t) = 11t + 40

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Explanation

At t=40t = 40, C=480C = 480. So 480=11(40)+b480 = 11(40) + b, giving b=40b = 40.

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