If 5 items cost 700 to produce and 17 items cost 1800 to pro

If 5 items cost $700 to produce and 17 items cost $1800 to produce find the linear cost function

Solution

Let y = total cost

x = no. of items

As we know that

when x = 5 then y = 700 ....(5, 700)

when x = 17 then y = 1800....(17, 1800)

So we have two points So the equation of straight line

y-700 = [(1800-700)/(17-5)](x-5)

y-700 = [1100/12](x-5)

y-700 = (275/3)(x-5)

y = (275/3)x - (1375/3) +700

3y = 275x+725