SOLUTION: The cost for an exterminator to treat a 1500 sq ft home is $65.00 and the cos for a 3000 sq ft home is $80.00. What is the linear equation? What is the slope? What is the

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The cost for an exterminator to treat a 1500 sq ft home is $65.00 and the cos for a 3000 sq ft home is $80.00. What is the linear equation? What is the slope? What is the      Log On


   



Question 630034: The cost for an exterminator to treat a 1500 sq ft home is $65.00 and the cos for a 3000 sq ft home is $80.00.
What is the linear equation?
What is the slope?
What is the y-intercept?
How much would it cost for a 2100 sq ft home?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
The cost for an exterminator to treat a 1500 sq ft home is $65.00 and the cost for a 3000 sq ft home is $80.00.
(3000, 80)
(1500, 65) Slope m = 15/1500 = 1/100
In general: y = mx + b
C+=+%281%2F100%29%2AA+%2B+b+ || Where C is the Cost and A the area of the home
80+=+%281%2F100%29%2A3000+%2B+b |Using (3000,80) to solve for b
80 = 30 + b
50 = b, the y-intercept
C+=+%281%2F100%29%2AA+%2B+50
C = %281%2F100%29%2A2100+%2B+50= $71