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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?

User Samsad
by
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2 Answers

5 votes

the answer is 16 acres

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

Find the value of the constant of proportionality k

substitute the values of x and y

The linear equation is equal to

Find out how many acres are on a farm with a total operating cost of $441,216

so

For y=$441,216

substitute in the linear equation the value of y and solve for x

Explanation:

User Burak Day
by
6.8k points
3 votes

Answer: 16 acres

Step-by-step explanation: we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

Find the value of the constant of proportionality k

substitute the values of x and y

The linear equation is equal to

Find out how many acres are on a farm with a total operating cost of $441,216

so

For y=$441,216

substitute in the linear equation the value of y and solve for x

User Mark Vincze
by
6.0k points
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