SOLUTION: if it costs $20,000 to make 700 chairs and $30,000 to make 1500, write an equation that relates cost to number of chairs. what is the cost to make 2000 chairs

Algebra ->  Linear-equations -> SOLUTION: if it costs $20,000 to make 700 chairs and $30,000 to make 1500, write an equation that relates cost to number of chairs. what is the cost to make 2000 chairs      Log On


   



Question 352558: if it costs $20,000 to make 700 chairs and $30,000 to make 1500, write an equation that relates cost to number of chairs. what is the cost to make 2000 chairs
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let C = cost, and plot on vertical axis
Let x = number of chairs, and plot on
horizontal axis
You are given 2 points on the graph,
(700, 20000) and (1500, 30000)
Use the point-slope formula

%28C+-+20000%29%2F+%28x+-+700%29+=+%2830000+-+20000%29+%2F+%281500+-+700%29
%28C+-+20000%29%2F+%28x+-+700%29+=+10000+%2F+800
%28C+-+20000%29%2F%28x+-+700%29+=+12.5
C+-+20000+=+12.5x+-+8750
C+=+12.5x+%2B+11250
T make 2000 chairs:
C+=+12.5%2A2000+%2B+11250
C+=+25000+%2B+11250
C+=+36250
It cost $36,250 to make 2000 chairs