SOLUTION: the widget company sells boxes of widgets by mail order. the company charges a fixed amount for shipping, no matter how many boxes of widgets are ordered. All boxes of widgets are

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Question 642320: the widget company sells boxes of widgets by mail order. the company charges a fixed amount for shipping, no matter how many boxes of widgets are ordered. All boxes of widgets are the same size and cost the same amount. The company is out of state so there are no taxes charged. You find out that the total cost (including shipping) for 6 boxes of widgets is $27, and the total cost(including shipping) for 10 boxes if $41. Find the cost of shipping and the price of one box of widgets. Also, find a formula for the total cost (including shipping) of N boxes of widgets.
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Write two ordered pairs where is the number of boxes of widgets and is the total cost including shipping for boxes of widgets.

Now do the two parts of the problem in reverse order from the way the question was asked. First find the function definition (what the question calls a "formula" for the total cost, including shipping, of boxes of widgets.

Use the two-point form of an equation of a line:

where and are the coordinates of the given points, and

Finally, once you have your function defined, evaluate

John

My calculator said it, I believe it, that settles it