Lesson 5.1 – Ratios and Rates – Notes
Vocabulary
A ratio is a comparison of two quantities using division.
34, 3 to 4, 3:4
A rate is a ratio of two quantities with different units.
60miles2hours
A rate with a denominator of 1 is called a unit rate.
30miles1hour
______Example 1 – Finding Ratios and Rates
a) There are 12 dogs and 15 cats at the pet store. Find the ratio of cats to dogs.
b) You bicycle 30 blocks in 20 minutes. Find your speed.
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Example 2 – Finding a Rate from a Ratio Table
The table shows the amount of money you can raise by dancing for a charity. Find your unit rate in dollars per hour.
______On Your Own.
- There are 45 males and 60 females in a subway car.
a. Find the ratio of females to males.
b. Find the ratio of females to total passengers.
On Your Own.
The table shows the distance that the International Space Station travels while orbiting the Earth. Find the speed in miles per second.
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A complex fraction has at least one fraction in the numerator, denominator, or both.
You may need to simplify complex fractions when finding ratios and rates.
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Example 3 – Finding a Rate from a Graph
The graph shows the distance that you walk. Find your rate in feet per second.
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Example 4 – Solving a Ratio Problem
You mix 12 cup of red paint for every 14 cup of blue paint to make 12 cups of purple paint.
How much red paint and blue paint do you use?