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 convert inches to feet?

Back

To convert inches to feet, divide the number of inches by 12.

Front

If a skydiver falls 144 feet in 3 seconds, how do you find the distance fallen per second?

Back

Divide the total distance (144 feet) by the total time (3 seconds) to find the distance per second.

Front

What is the formula to find the percentage of a number?

Back

To find the percentage of a number, multiply the number by the percentage (in decimal form). For example, 9% of 50 is calculated as 50 * 0.09.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another.

Front

How do you solve a problem involving ratios?

Back

To solve a ratio problem, set up a proportion and cross-multiply to find the unknown quantity.

Front

What is the relationship between yards and miles?

Back

1 mile is equal to 1,760 yards.

Front

How do you convert feet to yards?

Back

To convert feet to yards, divide the number of feet by 3.

Front

What does it mean if two quantities are in a proportional relationship?

Back

It means that as one quantity increases or decreases, the other quantity does so in a consistent manner, maintaining the same ratio.

Front

If the ratio of tomatoes to red apples is 2:5, how do you find the number of apples if you know the number of tomatoes?

Back

Use the ratio to set up a proportion. If there are 20 tomatoes, set up the equation 2/5 = 20/x and solve for x.