Question

If y - 3 = 3x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

Answer 1

Answer:

a)  Only the set of ordered pairs  {(0,3), (1, 6), (2, 9))  satisfies the    

     equation y - 3 = 3x

Step-by-step explanation:

Here, the given equation is : y - 3 = 3x

or ,   y - 3 x = 3

Now, check the value of equation for first ordered pair in each set.

a)  {(0,3), (1, 6), (2, 9))      : Checking for (0.3)

y - 3x = 3 - 3(0)  = 3

and 3 = 3 = Right side

Hence, {(0,3), (1, 6), (2, 9))  satisfies the equation.

b) {(3,0), (6, 1), (9, 2)}     : Checking for (3,0)

y - 3x = 0 - 3(3)  = -9

and -9    ≠  3  (Right side)

Hence, {(3,0), (6, 1), (9, 2)}   do NOT satisfy the equation.

c) {(1,3), (2,6), (3,9)}     : Checking for (1,3)

y - 3x = 3 - 3(1)  = 3 - 3 = 0

and 0     ≠  3  (Right side)

Hence,{(1,3), (2,6), (3,9) }  do NOT satisfy the equation.

d) {(3, 1), (6,2), (9,3)}  : Checking for (3,1)

y - 3x    = 1 - 3(3)  = 1 - 9 = -8

and -8     ≠  3  (Right side)

Hence,{(3, 1), (6,2), (9,3)}  do NOT satisfy the equation.