Set Up Proportions

How do you set up a proportion?

• To set up a proportion, you create a fraction for each ratio and set them equal to each other.

• You multiply the two ratios together to find a common denominator.

• You add the two ratios and divide by two to find the average.

• You subtract the smaller ratio from the larger one to find the difference.

What is a unit rate, and how does it relate to proportions?

• A unit rate is a ratio that compares a quantity to one unit of another quantity, often used to simplify proportions.

• A unit rate is a measure of speed, indicating how fast something is moving.

• A unit rate is a type of proportion that only applies to whole numbers.

• A unit rate is a comparison of two different quantities without any relation to one unit.

What is the formula for setting up a proportion based on a real-world scenario?

• a/b = c/d where a and b are quantities from one scenario, and c and d are quantities from another.

• a + b = c + d where a and b are quantities from one scenario, and c and d are quantities from another.

• a - b = c - d where a and b are quantities from one scenario, and c and d are quantities from another.

• a * b = c * d where a and b are quantities from one scenario, and c and d are quantities from another.

What is the significance of the constant of proportionality?

• It is the factor that relates two proportional quantities.

• It is a measure of the average rate of change.

• It determines the maximum value of a proportional relationship.

• It is used to calculate the area under a curve.

What is cross-multiplication in the context of proportions?

• A method to add two ratios together.

• A technique to find the average of two numbers.

• A method used to determine if two ratios are proportional by multiplying the numerator of one ratio by the denominator of the other ratio.

• A way to convert fractions into decimals.

What is the relationship between ratios and proportions?

• Ratios compare two quantities, while proportions state that two ratios are equal.

• Ratios are always larger than proportions.

• Proportions are a type of ratio that compares three quantities.

• Ratios and proportions are unrelated concepts.

How can you check if your proportion setup is correct?

• By ensuring that the ratios are set up in the same order and that they are equivalent.

• By checking if the numbers are all whole numbers.

• By calculating the sum of the ratios involved.

• By comparing the ratios to a different set of numbers.

How can you determine if two fractions are equivalent?

• By adding the numerators and denominators

• By finding a common denominator

• By comparing their decimal values

• Two fractions are equivalent if their cross-products are equal.

How do you solve for an unknown in a proportion?

• Add the two known values together and divide by two.

• Cross-multiply and then isolate the variable.

• Subtract the known value from the unknown value.

• Multiply the known values and then add the unknown value.

What does it mean if two ratios are not proportional?

• Their cross-products are equal.

• Their cross-products are not equal.

• They have the same numerator.

• They have the same denominator.