SOLUTION: Please help me solve this problem
At a price of $4.50, 200 hats will be sold. If the price is reduced to $3.25, then 500 hats will be sold.
Express the number of hats sold as
Question 642064: Please help me solve this problem
At a price of $4.50, 200 hats will be sold. If the price is reduced to $3.25, then 500 hats will be sold.
Express the number of hats sold as a linear function of the price per hat.
What I have tried is putting the price and number of hats into pairs, but Im not sure which order they need to be in. If I had to guess I would do (200,4.50) and (500, 3.25) but Im not sure what to do after that.
Thank you. Answer by solver91311(24713) (Show Source):
Ordered pairs are of the form where is a function of . Had the problem asked for "price per hat as a linear function of hats sold" then your and ordered pairs would have been correct. As it is, you want to reverse them, and .
Next, you want to use the two-point form of an equation of a line:
where and are the coordinates of the given points.
Plug in the values from your two points and then simplify. Since the problem asks for a function, you want to put your equation into slope-intercept form; that is, , isolating to demonstrate the function relationship.
John
My calculator said it, I believe it, that settles it
