Solving Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How do you find the unit rate in a proportional relationship?

Back

To find the unit rate, divide the quantity of one variable by the quantity of the other variable.

Front

If Amy earns $25 for 3 hours of babysitting, what is her hourly rate?

Back

Her hourly rate is $25 ÷ 3 hours = $8.33 per hour.

Front

What is cross multiplication?

Back

Cross multiplication is a method used to solve proportions by multiplying the numerator of one fraction by the denominator of the other fraction.

Front

What is the formula for finding a missing value in a proportion?

Back

Front

How can you represent a proportional relationship with an equation?

Back

Front

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the ratio between two proportional quantities.

Front

If Anthony rides 45 miles in 5 hours, how can you express his speed as a unit rate?

Back

Front

What is the first step in solving a proportion?

Back

The first step is to set up the proportion correctly, ensuring that the ratios are equivalent.

Front

How do you solve for a variable in a proportion?

Back

To solve for a variable, cross multiply and then isolate the variable on one side of the equation.