Linear Functions

SAT Math· difficulty 3/5

The table shows pairs (x,f(x))(x, f(x)).

<table> <thead> <tr> <th>$x$</th> <th>1</th> <th>3</th> <th>5</th> <th>7</th> </tr> </thead> <tbody><tr> <td>$f(x)$</td> <td>2</td> <td>8</td> <td>14</td> <td>20</td> </tr> <tr> <td>Which formula represents $f$?</td> <td></td> <td></td> <td></td> <td></td> </tr> </tbody></table>
  • A

    f(x)=2xf(x) = 2x

  • B

    f(x)=3x+2f(x) = 3x + 2

  • C

    f(x)=2x+3f(x) = 2x + 3

  • D

    f(x)=3x1f(x) = 3x - 1

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Explanation

Slope =6/2=3= 6/2 = 3. f(1)=2b=1f(1) = 2 \Rightarrow b = -1. f(x)=3x1f(x) = 3x - 1.

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