Question

The ordered pair below is a solution to which equation? (2, 12) A.y=1/5x B.y=1/2x C. y = 2x D. y = 6x

Answer 1

D. y = 6x...subbing in (2,12)...x = 2 and y = 12
    12 = 6(2)
    12 = 12 (correct)

so (2,12) is a solution to : y = 6x

Answer 2

Answer:

D. y = 6x

Step-by-step explanation:

In order to conclude which pair is a real solution to one of these equations, we need to evaluate the point in each equation.

Let:

$(x,y)=(2,12)$

So, this pair will be a solution if when evaluating the value of x=2 in the function the result is y=12.

For A.

$y(x)=\frac{1}{5}x \\\\y(2)=\frac{2}{5} =0.4\neq12$

This pair is not a solution to this equation.

For B.

$y(x)=\frac{1}{2}x\\\\y(2)=\frac{2}{2} =1 \neq 12$

This pair is not a solution to this equation.

For C.

$y(x)=2x\\\\y(2)=2*2=4 \neq 12$

This pair is not a solution to this equation.

For D.

$y(x)=6x\\\\y(2)=6*2=12$

This pair is a solution to this equation.