Which equation represents the data shown in the table below? x y 2 9 3 12 4 15 5 18 A. y = 2x + 9 B. y = 3x + 3 C. y = 3x + 12 D. y = 4x + 1

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Answer:

Step-by-step explanation:

The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .

The data best fit the line y = 3x+3, the correct option is B.

What is an Equation?

The equation is a statement that equates two algebraic expressions with an equal sign.

The data is given

x   y

2    9

3    12

4    15

5    18

The equation that represents the data can be found by substituting the data and checking if they satisfy the equation.

The first equation is

y = 2x +9

Substitute ( 2,9)

9 = 2 *2 +9

9 ≠ 13

The second equation is

y = 3x +3

Substitute ( 2,9)

y = 3 *2 +3

9 = 9

Substitute ( 3,12)

12 = 3 *3 +3

12 = 12

Therefore, the data best fit the line y = 3x+3, the correct option is B.

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