SOLUTION: I have got NO idea where to start on this one: Any and all help is MUCHO appreciated, thanks! A manufacturing company finds that they can sell 275 items at $2.50 per item and 35

Question 725935: I have got NO idea where to start on this one: Any and all help is MUCHO appreciated, thanks!
A manufacturing company finds that they can sell 275 items at $2.50 per item and 350 items at $2.00 per item. If the relationship between the number of items sold x and the price per item p is a linear one:
Find a formula that gives x in terms of p: x=_______

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
We are used to writing y as a function of x.
In this case, you need to write x as a (linear) function of p,
instead of
It is a linear function, so it graphs as a straight line.
That line passes through the points
(2.50,275), with coordinates p=2.50 and x=275, and
(2.00,350), with coordinates p=2.00 and x=350

To graph that line we have to change the labels on the axes to read p and x, instead of x and y

To write the equation we can find the slope of the line passing through points (2.50,275) and (2.00,350) :

write the line in point slope form using point (2.350) as

and do a little algebra to transform that into the slope-intercept form
(or "solve for x").
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