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How to determine if a table represents direct variation

How to determine if a table represents direct variation

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains the concept of direct variation, where one variable is a constant multiple of another. It describes how to represent this relationship mathematically using equations like y = K * X or y / X = K, where K is the constant. The tutorial then demonstrates how to check for direct variation in a table by ensuring the ratio y / X is consistent across all data points. An example is provided to illustrate the process, showing that if the constant K is not equal for all pairs, the relationship is not a direct variation.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the mathematical representation of direct variation?

y = K - X

y = K / X

y = K * X

y = K + X

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you verify if two variables exhibit direct variation?

By checking if y - X is constant

By checking if y * X is constant

By checking if y / X is constant

By checking if y + X is constant

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of direct variation, what does the constant K represent?

The ratio of y to X

The product of y and X

The difference between y and X

The sum of y and X

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of 22 divided by 11 in the example provided?

4

3

2

1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why does the example fail to demonstrate direct variation?

Because the product y * X is not constant

Because the values of y are not integers

Because the values of X are not integers

Because the ratio y / X is not constant

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