If y varies inversely with x, what happens to y if x is doubled?

If y varies inversely with x, doubling x will halve y.

How do you solve for k in a direct variation problem?

To solve for k in a direct variation problem, use the equation $$k = \frac{y}{x}$$ .

How do you solve for k in an inverse variation problem?

To solve for k in an inverse variation problem, use the equation $$k = xy$$ .

In a direct variation problem, if y = 10 when x = 2, what is k?

If y = 10 when x = 2, then $$k = \frac{10}{2} = 5$$ .

In an inverse variation problem, if y = 4 when x = 3, what is k?

If y = 4 when x = 3, then $$k = 4 \times 3 = 12$$ .

What is the relationship between the number of people and time in a direct and inverse variation problem?

In a direct and inverse variation problem, as the number of people increases, the time taken to complete a task decreases, assuming the amount of work remains constant.

If 4 people take 36 minutes to solve 18 problems, how long will it take 6 people to solve 42 problems?

It will take 56 minutes for 6 people to solve 42 problems.

What is the significance of the constant k in variation equations?

The constant k represents the proportionality factor in variation equations, indicating how one variable changes in relation to another.

Variation Functions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is direct variation?

Back

2.

FLASHCARD QUESTION

Front

What is inverse variation?

Back

3.

FLASHCARD QUESTION

Front

What is joint variation?

Back

4.

FLASHCARD QUESTION

Front

What is the equation for direct variation?

Back

5.

FLASHCARD QUESTION

Front

What is the equation for inverse variation?

Back

6.

FLASHCARD QUESTION

Front

What is the equation for joint variation?

Back

7.

FLASHCARD QUESTION

Front

If y varies directly with x, what happens to y if x is doubled?

Back

If y varies directly with x, doubling x will also double y.

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