SOLUTION: A piece of metal is heated to 3000C and then placed in a cooling liquid at 500C. After 4 minutes, the metal has cooled to 1750C. Find its temperature after 12 minutes

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A piece of metal is heated to 3000C and then placed in a cooling liquid at 500C. After 4 minutes, the metal has cooled to 1750C. Find its temperature after 12 minutes      Log On


   

Question 908856: A piece of metal is heated to 3000C and then placed in a cooling liquid at 500C. After 4 minutes, the metal has cooled to 1750C. Find its temperature after 12 minutes
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
Identify two linear data points (x,y) using x for time after placement in the coolant and y for temperature.

(0,3000) and (4,1750).
ASSUMING a linear fit, find the line which contains those two points.
Most convenient is slope-intercept form because you already have "b", the y intercept.

Good method is fill as y=%28%281750-3000%29%2F%284-0%29%29x%2B3000;
simplify the equation.