SOLUTION: A small business buys a piece of equipment for $2,500. After 10 years, the equipment will have a value of $500. Write the equation for the value of the equipment y after x years

Algebra ->  Finance -> SOLUTION: A small business buys a piece of equipment for $2,500. After 10 years, the equipment will have a value of $500. Write the equation for the value of the equipment y after x years      Log On


   



Question 431807: A small business buys a piece of equipment for $2,500. After 10 years, the equipment will have a value of $500. Write the equation for the value of the equipment y after x years
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let y = value of the equipment after x years
You are given the points (x,y):
(0,2500) and (10, 500)
The point-slope formula is:
+%28+y+-+500+%29+%2F+%28x+-+10+%29+=+%282500+-+500+%29+%2F+%28+0+-+10+%29+
+%28+y+-+500+%29+%2F+%28x+-+10+%29+=+2000+%2F+%28+-+10+%29+
+-10%2A%28+y+-+500+%29+=+2000%2A%28+x+-+10+%29+
+-y+%2B+500+=+200x+-+2000+
+-y+=+200x+-+2500+
+y+=+-200x+%2B+2500+
--------------------
check answer:
x+=+10
+y+=+-200%2A10+%2B+2500+
+y+=+500+
OK