A manufacturer determines that the relationship between the profit earned, P, and the number of items produced, x, is linear. If the profit is $200 on 18 items and $2660 on 100 items, write an equation expressing P as a function of x. Find the expected profit if 200 items were produced.
If you could answer and show work that would be tremendous
2007-10-10 08:47:01 · 2 answers · asked by Drew 1 in Science & Mathematics ➔ Mathematics
P = a x + b
200 = 18 a + b
2660 = 100 a + b
a = 30
b = -340
P = 30 x - 340
P(200) = 5660
2007-10-10 08:52:41 · answer #1 · answered by Ivan D 5 · 0⤊ 0⤋
treat (18,200) and (100,2660) as two point on a linear eq
slope = (2660-200)/(100-18) = 30
p = 30x + b
200 = 30x18 +b, b= -340
so eq is p=30x - 340
when x = 200, p = 5660
2007-10-10 08:58:02 · answer #2 · answered by norman 7 · 0⤊ 0⤋