Respuesta :

MarkV
Hi there!

The answer is:
[tex]y = - \frac{3}{4} x + 2[/tex]

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

[tex]y = - \frac{3}{4} x + 2[/tex]

Answer:

[tex]y=-\frac{3}{4}x +2[/tex]

The graph in the attached figure

Step-by-step explanation:

Let

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

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

we know that

The equation that represent the situation is equal to

[tex]y=-\frac{3}{4}x +2[/tex]

This is a linear equation

To graph the line find the intercepts

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

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

Plot the points

the graph in the attached figure

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