A manufacturing company finds that they can sell 625 items at $ 1.50 per item and 400 items at $ 3.00 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 =

Now use the formula to find the number of items they will sell if the price per item is$ 2.00. They will sell ___ items if the price is $ 2.00.

Let I = items

P = Price

then, the slope for a linear relationship is m = (400-300)/(2-2.5) = -200

I-400 = -200(P-2) or I = -200P + 800

at $1.50 per item, you can sell I = -200(1.5) + 800 = 500 items

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.