Proportions in Mathematics

proportion

decreases

True (A)

<p>False (B)</p> Signup and view all the answers

<p>False (B)</p> Signup and view all the answers

<p>False (B)</p> Signup and view all the answers

When one quantity increases, the other quantity increases at the same rate.

When one quantity increases, the other quantity decreases at the same rate.

The whole is divided into parts proportional to a given ratio.

If you earn $10 per hour, the more hours you work, the more money you earn. This is a direct proportion.

If you have more cars, the travel time to a destination will most likely decrease.

Dividing a cake based on a ratio.

A relationship between two values expressing equality.

Inverse proportion.

Parts.

The other quantity.

A portion or part of the 'whole' or 'base' amount, expressed as a fraction out of 100.

The total or original amount, the whole from which a percentage is derived.

The percentage value, represented by the percent sign (%). It tells you how much of the base is being considered.

This is used to calculate percentage ('P') from the base ('B') and rate ('R').

This formula allows you to calculate the rate ('R') given the percentage ('P') and base ('B').

This formula helps you calculate the base ('B') if you know the percentage ('P') and rate ('R').

A visual representation of the relationships between percentage, base, and rate.

This is a simple percentage problem. P = ?, B = 100, R = 25%. Using the formula P = B × R, we get P = 100 × 0.25 = 25.

Here, P = 50, R = 20%, B = ?. Using B = P ÷ R, we get B = 50 ÷ 0.2 = 250.

Here, P = 40, B = 200, R = ?. Using R = P ÷ B, we get R = 40 ÷ 200 = 0.2 or 20%.