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In this lesson, we will learn how to create formulas linking two quantities that vary directly and indirectly.

Q1:

π¦ varies inversely with π₯ 3 . The constant of proportionality is 13. Which of the following equations represents this relation?

Q2:

π¦ varies inversely with π₯ 3 . The constant of proportionality is 6. Which of the following equations represents this relation?

Q3:

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

Q4:

Q5:

Decide if π₯ varies directly or inversely with π¦ and use this to find the value of π¦ when π₯ = 3 .

Q6:

If π¦ β 1 β π₯ then which of the following is true?

Q7:

The table below shows how π¦ varies with π₯ . Use this information to find the value of π₯ when π¦ = 1 4 .

Q8:

For a rectangle of fixed area, the length π varies inversely with its width π€ . Given that π = 2 2 c m when π€ = 1 6 c m , determine the value of π when π€ = 4 4 c m .

Q9:

For a rectangle of fixed area, the length π varies inversely with its width π€ . Given that π = 1 3 c m when π€ = 1 1 c m , determine the value of π when π€ = 1 3 c m .

Q10:

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

Q11:

If π§ = π π₯ , where π is a constant, then π§ β .

Q12:

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?

Q13:

Given that π¦ varies inversely as π₯ 2 , write an equation for π¦ in terms of π₯ using π as a nonzero constant.

Q14:

The weight of an object above Earthβs surface varies inversely with the square of the distance from Earthβs center. If a body weighs 50 pounds when it is 3 9 6 0 miles from the earthβs center, what would it weigh if it was 3 9 7 0 miles miles from Earthβs center?

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