SOLUTION: Suppose the cost to produce 10 units of a product is $20 and the cost to produce 20 units is $70. Find the equation of the line, then find the cost to produce 35 units.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Suppose the cost to produce 10 units of a product is $20 and the cost to produce 20 units is $70. Find the equation of the line, then find the cost to produce 35 units.       Log On


   



Question 673212: Suppose the cost to produce 10 units of a product is $20 and the cost to produce 20 units is $70. Find the equation of the line, then find the cost to produce 35 units.
I'm using excel and your help is greatly appreciated.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose the cost to produce 10 units of a product is $20 and the cost to produce 20 units is $70. Find the equation of the line, then find the cost to produce 35 units.
-----
You have 2 points:: (10,20) and (20,70)
---
slope = (70-20)/(20-10) = 50/10 = 5
-------
Form:: y = mx + b
Solve for "b":
20 = 5*10 + b
b = -30
----
Equation:
y = 5x - 30
===================
Cheers,
Stan H.
===================