The average cost when producing x items is found by dividing the cost function, c(x), by the number of items, x. when is the average cost less than 100, given the cost function is c(x) = 20x + 160?

When the produced item greater than 2, the average cost will be less than 100

Step-by-step explanation:

C(x) / x = 100 ... when x items produced and the cost is 100

(20x + 160) / x = 100

20x + 160 = 100x

80x = 160

x=2

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)