Question

Choose the system of linear equations that represents the mapping diagrams.

Answer 1

Answer:

A

Step-by-step explanation:

If you substitute each x value from the input boxes into the equations, you can find your answer.

The first input value is 1, and the output value is 12, so plug those into the first equation in the answer options.

y = 4x + 8

(12) = 4(1) + 8

12 = 4 + 8

12 = 12

Because the simplified equation ended in a true equality statement, that pair works with the equation.

The next x value is 3 and the y value is 20:

y = 4x + 8

(20) = 4(3) + 8

20 = 12 + 8

20 = 20

Again, it ends in  true equality statement, so it also works with the equation.

(28) = 4(5) + 8 = 28 so that one works as well.

Then check the second equation with the second set of input and output values.

(2) = -7(-1) - 5 = 2

The first x and y values of that system work.

(9) = -7(-2) - 5 = 9

The second one works as well.

(16) = -7(-3) - 5 = 16

The last one is equal as well.

So the equations in A, or the first option, work with all of the inputs and outputs.