Applying direct variation to a proportion so solve for the missing variable

The video tutorial explains how to solve problems involving two direct variations by setting up proportions. It demonstrates the use of cross products to solve equations and highlights the importance of understanding how to multiply fractions and whole numbers. The tutorial also covers the concept of reciprocals and how they can simplify division involving fractions.

What is the first step in solving a problem with two direct variations?

• Divide the ratios by each other

• Multiply the ratios directly

• Set up a proportion using the ratios of Y and X

• Add the ratios together

When applying the cross product, what is important to remember about multiplying fractions?

• Multiply the numerators and denominators separately

• Add the numerators and denominators

• Subtract the numerators from the denominators

• Divide the numerators by the denominators

How do you rewrite a whole number times a fraction to simplify multiplication?

• Divide the whole number by the fraction

• Convert the whole number to a fraction

• Add the whole number to the fraction

• Subtract the fraction from the whole number

What operation can be used instead of dividing by a whole number when dealing with fractions?

• Add the whole number to the fraction

• Multiply by the reciprocal of the whole number

• Subtract the whole number from the fraction

• Divide the fraction by the whole number

What is the final value of Y in the given problem?

• 1/2

• 4

• 5/8

• 2