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

Answer:

The total cost is:$400

Step-by-step 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

$y =10*20 + 200$

$y =200 + 200$

$y = 400$