Question

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

{(0,3), (1, 6), (2, 9))
{(3,0), (6, 1), (9, 2)}
{(1,3), (2,6), (3,9)
{(3, 1), (6,2), (9,3)}

Answer 1

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

equation y - 3 = 3x

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.