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

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

Answer 2

27,576 and 16

Explanation:

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