Question

Assume the following: 1) the scattergraph intersects the Y axis at $200; 2) the estimated line on the scattergraph increases by $10 for every 1 unit of volume increase. What is total cost if volume is 20 units

Answer 1

The total cost is:$400

Explanation:

Given

`x \to units`

`y \to cost`

`(x,y) = (0,200)` --- when the graph intersects the y-axis

`m = 10` -- the rate

Required

y when x = 20

First, we determine the equation of the plot using:

`y = mx + c`

Substitute 10 for m

`y = 10x + c`

Next, solve for c.

Substitute
`(x,y) = (0,200)`

`200 = 10*0+c`

`200 = 0+c`

`c = 200`

So:

`y = 10x + c`

`y =10x + 200`

When x = 20

`y =10*20 + 200`

`y =200 + 200`

`y = 400`