Question

Use the information in the article and associated document about organic strawberry farming to answer the questions about sales appropriation.
The document is located at this article.
Use the data table towards the end of the article to answer the questions.
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: 27,576

16 acres

Step-by-step explanation:

Answer 2

The number of acres of farmland which can be cultivated with an operating cost of $441,216 is 16 acres

• Operating cost varies directly with number of acres
• Let : C = operating cost ; n = number of acres

Mathematically ;

• C α n

Hence;

• C = kn ; where k = proportionality constant

• We can solve for k ; C = 551,520 when n = 20

• 551520 = 20k

• Divide both sides by 20 to isolate k

• 551520/20 = k

• k = 27576

• The relationship can be expressed thus :

• C = 27576n

Therefore, the Number of acres with total operating cost of $441216;

• C = 441216

• 441216 = 27576n

• Divide both sides by 27576

• 441216 / 27576 = 16

Therefore, 16 acres of farmland can be cultivated with an operating cost of $441,216

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