Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a proportion?

Back

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

Front

How do you find the constant of proportionality?

Back

To find the constant of proportionality, divide one quantity by the other in a proportional relationship.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin, it indicates a proportional relationship between the variables.

Front

What is the formula for finding unit rate?

Back

The unit rate is found by dividing the quantity by the number of units, expressed as 'quantity per unit'.

Front

If Craig earns $37 for 4 hours, what is his hourly rate?

Back

$9.25 per hour.

Front

What is the significance of the y-intercept in a proportional relationship?

Back

In a proportional relationship, the y-intercept should be zero, indicating that when the independent variable is zero, the dependent variable is also zero.

Front

How can you tell if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

If Lauren bikes 4/3 miles in 1/10 hour, how long does it take her to bike one mile?

Back

3/40 hours.