Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two variables in a proportional relationship, often represented as y = kx.

Front

If a car travels 280 miles in 7 hours, how far will it travel in 12 hours?

Back

480 miles.

Front

In the equation y = 14x, what is the constant of proportionality?

Back

14.

Front

What is the formula to find the cost of items based on unit price?

Back

Cost = Unit Price × Quantity.

Front

If 2 apples cost $20, what will 5 apples cost?

Back

$50.

Front

What is the relationship between distance, rate, and time?

Back

Distance = Rate × Time.

Front

How can you express a proportional relationship in an equation?

Back

A proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, as one quantity increases, the other quantity increases at a constant rate.