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The table shows the cost of some apples. Which function ƒ(x) is represented in the table?

A)

ƒ(x) = 2x + 2

B)

ƒ(x) = 0.5x

C)

ƒ(x) = 0.5x + 2

D)

ƒ(x) = 2x

The table shows the cost of some apples Which function ƒx is represented in the table A ƒx 2x 2 B ƒx 05x C ƒx 05x 2 D ƒx 2x class=

Respuesta :

mhanifa

Answer:

  • D) f(x) = 2x

Step-by-step explanation:

The ordered pairs from the table:

  • (1, 2), (2, 4), (3, 6)

Find the slope:

  • m = (4 - 2)/(2 - 1) = 2

Find the y- intercept:

  • 2 = 2*1 + b ⇒ b = 0

The function is:

  • f(x) = 2x

Correct choice is D

Take any two pairs

  • (1,2)
  • (3,6)

Slope

  • m=6-2/3-1
  • m=4/2
  • m=2

Equation in point slope form

  • y-2=2(x-1)
  • y-2=2x-2
  • y=2x

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