Question

The output equals 1 less than three times the input

Answer 1

Complete Question:

The output equals 1 less than three times the input

Write and solve any equation to find input when the output is -3

Answer:

y = 3x - 1

x = -⅔ when y = -3

Step-by-step explanation:

Given

Represent the input with x and the output with y.

First, we need to write out the output as a function of the input.

[Three times the input] implies 3 * x

[1 less than this] implies 3*x - 1

The above expression is said to be the output.

So,

y = 3 * x - 1

y = 3x - 1

The next part of the question is to solve for x when y = -3

Substitute -3 for y in y = 3x - 1

-3 = 3x - 1

Collect Like Terms

3x = 1 - 3

3x = -2

Solve for x

x = -⅔