Proportions and Percents

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the ratio of y to x in a proportional relationship, expressed as k = y/x.

Front

How do you calculate 30% of a number?

Back

To calculate 30% of a number, multiply the number by 0.30.

Front

If Sarah earns $20 a day and spends 30% of it, how much does she spend?

Back

Sarah spends $6 on Monday.

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and shows a constant ratio between the x and y values.

Front

What is 45% of a number if 18 is the result?

Back

If 18 is 45% of a number, the number is 40.

Front

How do you find the total number if you know a percentage of it?

Back

To find the total number, divide the known amount by the percentage (in decimal form).

Front

What is the formula for finding a percentage of a number?

Back

The formula is: Percentage = (Part/Whole) x 100.

Front

If 200 children attended a play and 40% were boys, how many girls attended?

Back

120 girls attended the school play.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio.

Front

How do you express a percentage as a fraction?

Back

To express a percentage as a fraction, divide the percentage by 100 and simplify.