Worksheet: Inverse Variation

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In this worksheet, we will practice creating formulas linking two quantities that vary directly and indirectly.

Q1:

varies inversely with . Given that when , what is the constant of proportionality?

Q2:

varies inversely with . The constant of proportionality is 6. Which of the following equations represents this relation?

Q3:

Decide if varies directly or inversely with and use this to find the value of when .

	2	4	70
	70	35	2

A
B420
C
D

Q4:

Given that varies inversely as , write an equation for in terms of using as a nonzero constant.

Q5:

If then which of the following is true?

A is inversely proportional to
B is directly proportional to
C is directly proportional to
D is inversely proportional to
E is inversely proportional to

Q6:

For a rectangle of fixed area, the length varies inversely with its width . Given that when , determine the value of when .

Q7:

The table below shows how varies with . Use this information to find the value of when .

	2	7	28
	28	8	2

Q8:

Given that varies inversely as , write an equation for in terms of using as a non-zero constant.

Q9:

At the beginning of the month, Bassem bought 70 eggs. Every morning he eats 2 eggs for breakfast. Is the number of remaining eggs proportional to the number of the days that have passed?

Ano
Byes

Q10:

The weight of an object above Earth’s surface varies inversely with the square of the distance from Earth’s center. If a body weighs 50 pounds when it is miles from the earth’s center, what would it weigh if it was miles miles from Earth’s center?

Q11:

If , where is a constant, then .

Q12:

varies inversely with . The constant of proportionality is 13. Which of the following equations represents this relation?

Q13:

varies inversely with . Given that when , what is the constant of proportionality?

Q14:

For a rectangle of fixed area, the length varies inversely with its width . Given that when , determine the value of when .