Question 73868
If you were to plot these points, you would plot them on a graph where x is the number of items produced and y is the cost. If you found the slope of the line between the 2 points, you could find the equation. So lets find the slope:
*[invoke calculating_slope 100, 10000, 300, 22000]
In other words, the rate of change of the cost to the number of items is $60 per unit. Now use the point-slope formula to find the equation
{{{y-y[1]=m(x-x[1])}}}Plug in m=60 and *[Tex \huge (x_{1},y_{1}=100,10000)] to the equation
{{{y-10000=60(x-100)}}}
{{{y-10000=60x-6000)}}}
{{{y=60x-6000+10000)}}}
{{{y=60x+4000)}}}
So this is your equation. If you plug in x=100 units, you should get y=$10,000  and if you plug in x=300, you should get y=$22,000 (y is the cost)
<p>
Check:
{{{y=60(100)+4000)}}}
{{{y=6000+4000)}}}
{{{y=10000)}}}Works
{{{y=60(300)+4000)}}}
{{{y=18000+4000)}}}
{{{y=22000)}}}Works
Hope this makes sense.