6.3 Flashcard Review

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 unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour).

Front

How do you find the unit rate from a total distance and time?

Back

To find the unit rate, divide the total distance by the total time. For example, if a car travels 567 miles in 9 hours, the unit rate is 567 miles ÷ 9 hours = 63 mph.

Front

What is the formula to calculate the missing value in a ratio table?

Back

To find a missing value in a ratio table, set up a proportion based on the known values and solve for the unknown.

Front

If a car travels 160 miles in 4 hours, how do you find the distance it would travel in 7 hours?

Back

First, find the unit rate: 160 miles ÷ 4 hours = 40 mph. Then multiply the unit rate by the new time: 40 mph × 7 hours = 280 miles.

Front

What does it mean to have a unit rate of $8 per pound?

Back

It means that for every pound of concrete purchased, it costs $8.

Front

How do you convert a total cost to a unit rate?

Back

To convert a total cost to a unit rate, divide the total cost by the total quantity. For example, $40 for 5 pounds of concrete gives $40 ÷ 5 = $8 per pound.

Front

What is the significance of understanding ratios in real-life situations?

Back

Understanding ratios helps in making comparisons, understanding proportions, and solving problems related to rates, such as speed and cost.

Front

How can you check if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal. For example, for ratios a/b and c/d, check if a*d = b*c.

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.