Identify the Constant of Proportionality by Writing an Equation in the Form y=mx

This lesson teaches how to identify the constant of proportionality in verbal descriptions of proportional relationships. It explains the use of equations in the form y = mx to solve for m, reviews dependent and independent variables, and addresses common mistakes in fraction division. An example problem involving an ant's travel is used to illustrate the concept, emphasizing the importance of reducing fractions before multiplication. The lesson concludes with a summary of the key points.

What is the purpose of writing an equation in the form y = mx when dealing with proportional relationships?

• To find the value of y for any given x

• To determine the constant of proportionality

• To solve for the variable x

• To eliminate the variable m

What is a common mistake students make when dividing fractions?

• Using the wrong denominator

• Not reducing fractions before multiplying

• Adding the fractions instead of multiplying

• Forgetting to multiply by the reciprocal

Why is it beneficial to reduce fractions before multiplying them?

• It makes the multiplication process faster

• It ensures the fractions are in simplest form

• It avoids the need to reduce after multiplication

• It changes the value of the fractions

In the example of the ant's travel, what is the constant of proportionality found?

• 3/2 inches per minute

• 4 inches per minute

• 1 inch per minute

• 2 inches per minute

How can the constant of proportionality be used in the context of the ant's travel?

• To predict the ant's speed at any given time

• To find the total time the ant has traveled

• To calculate the distance the ant will travel in a given time

• To determine the ant's starting point