Plot the relationship between p and q on the following graph. p=35-1/4q
note: price (p ) is on the vertical axis and quantity ( q ) is on the horizontal axis.

The given expression is

Where is the price and is the quantity. Also, is the dependent variable and is the independent variable.

This expression is modelling a linear relationship between the price and the quantity, if we graph the line that belongs to this equation would be as the image attached.

As you can observe, the relation between these variables is negative, which means that the more quantity, the lower is the price.

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step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)