Question

the following table shows ordered pairs for a linear function x. x y 3 18 4 23 8 43 10 53 which one of the following equations was used to generate this table? a y = 5x + 5 b y = 5x + 3 c y = 6x + 2 d y = 4x + 3

Explanation:

Step1: Test the first ordered - pair (3, 18) in option A

Substitute \(x = 3\) into \(y=5x + 5\), we get \(y=5\times3+5=15 + 5=20
eq18\).

Step2: Test the first ordered - pair (3, 18) in option B

Substitute \(x = 3\) into \(y = 5x+3\), we get \(y=5\times3+3=15 + 3=18\).

Step3: Test the second ordered - pair (4, 23) in option B

Substitute \(x = 4\) into \(y = 5x+3\), we get \(y=5\times4+3=20 + 3=23\).

Step4: Test the third ordered - pair (8, 43) in option B

Substitute \(x = 8\) into \(y = 5x+3\), we get \(y=5\times8+3=40 + 3=43\).

Step5: Test the fourth ordered - pair (10, 53) in option B

Substitute \(x = 10\) into \(y = 5x+3\), we get \(y=5\times10+3=50 + 3=53\).

Answer:

B. \(y = 5x+3\)