Question

A certain function is defined as "multiply the input by -3/4,then add 2 I need the function rule asap

Answer 1

Hi there!

The answer is:

`y = - (3)/(4) x + 2`

Let the input be represented by X. We can see we have to multiply it by -3/4, so we get -3/4X. To find our outcome (which is represented by y), we only have to add 2 to the function.
y (outcome) = - 3/4x (income) + 2


`y = - (3)/(4) x + 2`

Answer 2

`y=-(3)/(4)x +2`

The graph in the attached figure

Explanation:

Let

x-------> the input (independent variable)

y-------> the output (dependent variable)

we know that

The equation that represent the situation is equal to

`y=-(3)/(4)x +2`

This is a linear equation

To graph the line find the intercepts

The y-intercept is equal to the point
`(0,2)` ---> value of y when the value of x is equal to zero

The x-intercept is equal to the point
`(2.667,0)` ---> value of x when the value of y is equal to zero

Plot the points

the graph in the attached figure