Special Linear Relationships Answers

Do the organic prices vary directly with the conventional prices? If so, identify k.

No, this is not direct variation.✔ Yes, this is direct variation with k = 2.34.Yes, this is direct variation with k = 1.49.

Economists study the way society uses its resources. One important resource studied is agriculture. The recent increase in demand for organic produce has created some interesting economic scenarios for both farmers and consumers. Click the article to learn key facts about the economics of organic produce and answer a few questions. Which is a reason that organic farming is more expensive than conventional farming? How many years must a farm be run organically before its produce can be labeled as “organic”? What is a benefit of crop rotation?

12✔ 3

✔ Rotating crops can help build healthy soil.Crop rotation results in an increase in the quantity of crops.Crop rotation allows for specialty crops to grow in the soil.

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? ⇒ 27,576 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

Which cost category in the table shows an example of direct variation? The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario? What would be the total cost for office expenses for 24 months?

y = 17x✔ y = 63xy = 750x

✔ $1,512.00$1,992.00$18,000.00

Do the organic prices vary directly with the conventional prices? If so, identify k. Does the total cost of organic apples vary directly with the number of pounds of organic apples purchased? If so, identify k.