Question

practice which equation represents the linear relationship between the x - values and the y - values in the table?

x	y
1	12
5	43
8	75
9	84

a. y = - 4x + 5
b. y = 9x + 3
c. y = 8x - 2
d. y = 6x - 7

Explanation:

Step1: Test option A with x = 1

Substitute x = 1 into y=-4x + 5, we get y=-4(1)+5 = 1, which is not equal to 12 in the table.

Step2: Test option B with x = 1

Substitute x = 1 into y = 9x+3, we get y=9(1)+3=12.

Step3: Test option B with x = 5

Substitute x = 5 into y = 9x+3, we get y=9(5)+3=45 + 3=48, which is not equal to 43 in the table.

Step4: Test option C with x = 1

Substitute x = 1 into y = 8x-2, we get y=8(1)-2=6, which is not equal to 12 in the table.

Step5: Test option D with x = 1

Substitute x = 1 into y = 6x-7, we get y=6(1)-7=-1, which is not equal to 12 in the table.

Step6: Test option C with x = 5

Substitute x = 5 into y = 8x-2, we get y=8(5)-2=40 - 2=38, which is not equal to 43 in the table.

Step7: Test option C with x = 8

Substitute x = 8 into y = 8x-2, we get y=8(8)-2=64 - 2=62, which is not equal to 75 in the table.

Step8: Test option C with x = 9

Substitute x = 9 into y = 8x-2, we get y=8(9)-2=72 - 2=70, which is not equal to 84 in the table.

Step9: Test option B with x = 8

Substitute x = 8 into y = 9x+3, we get y=9(8)+3=72+3 = 75.

Step10: Test option B with x = 9

Substitute x = 9 into y = 9x+3, we get y=9(9)+3=81+3 = 84.

Answer:

B. y = 9x + 3