Ratios
How could you write the ratio "3 to 7" two other ways?
3 : 7 and 3/7
A unit rate is a rate in which the denominator is always equal to ________
1
Do the following ratios form a proportion? Use any method!
6/10 and 15/25
Yes!
Find the missing values in the ratio table
X | 5 | | 25 |
Y | 8 | 16 | |
first row 10 ; second row 40
Write the ratio of 49 : 63 in simplest form
7 : 9
You travel 150 miles using 5 gallons of gas. How far did you travel per gallon?
30 miles per gallon
Are the slices of pizza are proportional to the number of students?
number of students | 2 | 4 | 6 | 8 | 10
slices of pizza | 5 | 10 | 15 | 20 | 25
Yes, all ratios simplify to 5/2!
Find the missing values in the ratio tables.
quarts | 0.8 | 2.4 | |
minutes | 2 | | 8 |
first row 3.2 ; second row 6
This season, the Giants won 12 out of 20 games. What is the ratio of wins to losses? Interpret the ratio
3/2. For every 3 games the Giants won, they lost 2 games.
Robert is writing a paper for language arts class. He can write 2/3 of a page in 1/2 of an hour. What is Robert's writing rate in pages per hour.
4/3 pages per hour
Determine whether the rental charge is proportional to the time. Use the unit rate method.
$23 for 2 hours and $43 for 4 hours
Not proportional because the unit rates are not equal!
You mix 1/4 cup of juice concentrate for every 2 cups of water to make juice. How much of each ingredient do you use to make 18 cups of juice?
2 cups of juice concentrate and 16 cups of water
Write the ratio as a fraction in simplest form: 17.1/1.8
Find the unit rate: $19.95 for 5 pounds
$3.99 per pound
You can do 40 push ups in 2 minutes. Your friend can do 57 push ups in 3 minutes. Are these rates proportional? Use the cross products method.
Not proportional because the cross products are not equal (120 does not equal 114)
A cereal mixture contains 2 parts rice, 4 parts wheat, and 5 parts corn. How much of each ingredient is needed to make 55 pounds of the mixture?
10 pounds of rice, 20 pounds of wheat, and 25 pounds of corn
Write the ratio as a fraction in simplest form: 3 1/4 inches to 2/3 inch
39/8
In 2010, the U.S. population was 309 million people. In 2014, it was 319 million. What was the rate of population change per year?
2.5 million people per year
Are the following rates proportional? Use any method!
2/3 pound for every 5 gallons and 2/5 pound for every 4 1/3 gallons
Not proportional!
You are mixing 2 cups of blue paint and 8 cups of yellow paint to make green paint. If you have 18 cups of blue paint. How much yellow paint would you need? How much green paint can you make?
72 cups of yellow paint; 90 cups of green paint