Answered

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which function includes the data set below? {(2,-2),(6,10),(13,31)}

Which Function Includes The Data Set Below 226101331 class=

Sagot :

reinhard10158

Answer:

C

Step-by-step explanation:

it is very simple : we put the x values into the functions and calculate the corresponding y values - and compare this to the y values of the data set points.

A

y = (1/2)x - 3

test for (2, -2)

-2 = 1/2 × 2 - 3 = 1 - 3 = -2 correct

test for (6, 10)

10 = 1/2 × 6 - 3 = 3 - 3 = 0 wrong

so, A cannot be right.

B

y = -2x + 2

test for (2, -2)

-2 = -2×2 + 2 = -4 + 2 = -2 correct

test for (6, 10)

10 = -2×6 + 2 = -12 + 2 = -10 wrong

so, B cannot be right.

C

y = 3x - 8

test for (2, -2)

-2 = 3×2 - 8 = 6 - 8 = -2 correct

test for (6, 10)

10 = 3×6 - 8 = 18 - 8 = 10 correct

test for (13, 31)

31 = 3×13 - 8 = 39 - 8 = 31 correct

so, C is a right answer.

D

y = 4x - 10

test for (2, -2)

-2 = 4×2 - 10 = 8 - 10 = -2 correct

test for (6, 10)

10 = 4×6 - 10 = 24 - 10 = 14 wrong

so, D cannot be right.

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