Question

The total operating cost to run the organic strawberry
farm varies directly with its number of acres. What is
the constant of variation in this scenario?
If the total operating cost for a 20-acre organic.
strawberry farm is $551,520, how many acres are on a
farm with a total operating cost of $441,216?
acres

Answer 1

Answer:

A. How to determine the constant

  Let the total cost be C

   Let the number of acres be A

From the question given above,

C ∝ A

C = KA

K = C / A

   Total cost (C) = $ 551520

   Number of acres (A) = 20 acres

   Conctant (K) =?

K = C / A

K = 551520 / 20

K =  27576 dollar/acre

B. How to determine the number of acres

   Total cost (C) = $ 441216

   Constant (K) =  27576 dollar/acre

   Number of acres (A) =?

C = KA

Divide both side by K

A = C / K

A = 441216 / 27576

A = 16 acres