Question

Which table represents a linear function?

Answer 1

Answer: THIRD OPTION (C): X Y

• 1 - 3
• 2 - 5
• 3 - 7
• 4 - 9

• Step-by-step explanation:

• MAKE A PLAN: Linear Functions

• Let the Linear FUNCTION Equals/Express to

Y = KX + B

• SOLVE THE PROBLEM:

Now (3 = K + b ----> ( K = 3

(6 = 2K + 6 ----> ( B = 0

• Then (Y = 3x

X = 3

Y = 3 * 3

= 9 ≠ 12 Now, This is NOT a LINEAR FUNCTION

• (2) - Let the function be:

Y = KX + B

Now (2 = K + B ----> (K = 3

(5 = 2K + B ---> (B = - 1

Then, Y = 3X - 1

X = 3

Y = 3 * 3 - 1

= 8 ≠ 9 Now, This is NOT a LINEAR FUNCTION

• (3) - Now, Let The function be:

Y = KX + B

Now (-3 = K + B ----> (K = - 2

(-5 = 2K + B -----> (B = - 1

Then, Y = - 2X - 1

X = 3

Y = - 2 * 3 - 1

= - 7

= - 7

Now: X = 4

Y = -2 * 4 - 1

= - 9

= - 9, Now, This is a LINEAR FUNCTION

• (4) ( - 2 = K + B ------> (K = - 2

( - 4 = 2K + B -----> ( B = 0

Now: Y = - 2x

Then: X = 3

Y = - 6 ≠ - 2, Now This is NOT A LINEAR FUNCTION

• Draw The conclusion:

Answer: THIRD OPTION (C): X Y

• 1 - 3
• 2 - 5
• 3 - 7
• 4 - 9

I hope this helps you!