Unit 3A - Rates, Ratios, and Proportions - Retake

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

Define a proportion.

Back

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

Front

How do you write a proportion to find a missing value?

Back

You can write a proportion as \( \frac{a}{b} = \frac{c}{d} \), where a and b are known values, and c is the unknown value.

Front

What is the formula to calculate a percentage?

Back

The formula to calculate a percentage is \( \text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100 \) .

Front

If a test is worth 12 points and a student scores 75%, how do you find the score needed?

Back

You can set up the proportion \( \frac{p}{12} = \frac{75}{100} \) to find p.

Front

What is the better deal: $15 for 3 tickets or $20 for 5 tickets?

Back

To find the better deal, calculate the cost per ticket: $15/3 = $5 per ticket; $20/5 = $4 per ticket. The better deal is $20 for 5 tickets.

Front

How do you find the total hours volunteered if 4 hours earns 2 credits and 16 credits are earned?

Back

Set up the proportion \( \frac{4}{2} = \frac{x}{16} \) to find x.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant ratio between the two variables.

Front

Write a proportion to find the cost of 6 DVDs if 4 DVDs cost $48.

Back

The proportion is \( \frac{4}{48} = \frac{6}{c} \) where c is the cost of 6 DVDs.

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.