SOLUTION: The value of a building lot on a certain island is jointly proportional to its area and the quantity of water produced by a well on the property. A 375 ft by 200 ft lot has a well

Algebra ->  Finance -> SOLUTION: The value of a building lot on a certain island is jointly proportional to its area and the quantity of water produced by a well on the property. A 375 ft by 200 ft lot has a well       Log On


   

Question 915715: The value of a building lot on a certain island is jointly proportional to its area and the quantity of water produced by a well on the property. A 375 ft by 200 ft lot has a well producing 20 gallons of water per minute, and is valued at $51,000. What is the value of a 200 ft by 400 ft lot if the well on the lot produces 10 gallons of water per minute?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
v for value
A for area
w for quantity of water
v=kAw for a constant of proportionality, k

k=v%2F%28Aw%29
Using the known values which establish the value of k,
k=51000%2F%28375%2A200%2A20%29
k=51%2F%28375%2A4%29
k=17%2F%28125%2A4%29
k=17%2F500

Value formula, highlight%28v=%2817%2F500%29Aw%29

Value for the question, v=%2817%2F500%29%28200%2A400%2A10%29;
Simplify v.