Melissa runs a
graphic design business. She charges by the
page, and has a setup fee. The table shows
her earnings for the last few projects. What is
her per-page rate, and what is her setup fee?

Respuesta :

Melissa per page rate is $75 while her start up fee is $35.

A linear equation is given by:

y = mx + b

where y, x are variables, m is the rate of change, b is the initial vale of y (y intercept).

Let y represent the total cost for designing x pages.

Taking the points (2, 185) and  (8, 635).

The equation is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-185=\frac{635-185}{8-2} (x-2)\\\\y-185=75x - 150\\\\y=75x+35[/tex]

Hence Melissa per page rate is $75 while her start up fee is $35.

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