16Hit1600
AlgebraVery hardExtrapolating a linear function

Algebra practice question

For the linear function f, f(2) = 7 and f(6) = 19. What is the value of f(10)?

Answer: 31

Slope = (19 − 7)/(6 − 2) = 3. From f(6) = 19, f(10) = 19 + 3(4) = 31.

Common wrong answers

If you answered 25
25 adds only 6 to 19, using half the change in x.
If you answered 29
29 uses slope 2.5 from a subtraction slip.
If you answered 38
38 doubles f(6), treating f as proportional.

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