Linear Functions

SAT Math· difficulty 4/5

The table represents a linear function ff.

<table> <thead> <tr> <th>$x$</th> <th>-1</th> <th>1</th> <th>3</th> <th>5</th> </tr> </thead> <tbody><tr> <td>$f(x)$</td> <td>a</td> <td>5</td> <td>9</td> <td>b</td> </tr> <tr> <td>What is $a + b$?</td> <td></td> <td></td> <td></td> <td></td> </tr> </tbody></table>
  • A

    1414

    check_circle
  • B

    1010

  • C

    1616

  • D

    1212

Explanation

Slope =4/2=2= 4/2 = 2. a=52(2)=1a = 5 - 2(2) = 1; b=9+2(2)=13b = 9 + 2(2) = 13. a+b=14a + b = 14.

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