Linear Functions

SAT Math· difficulty 3/5

The average rate of change of f(x)=mx+bf(x) = mx + b over [1,5][1, 5] is 77. What is mm?

  • A

    77

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  • B

    11

  • C

    Cannot be determined

  • D

    74\dfrac{7}{4}

Explanation

For a linear function, average rate of change equals the slope. Thus m=7m = 7.

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