Ratios
Write the ratio as a simplified fraction.
24:9
8/3
What is a unit rate?
A ratio with a denominator of one.
It means per one of something.
What is a proportion?
Two ratios that are set equal to each other.
Solve the Proportion
Eighteen oranges are packaged in 3 containers. How many oranges are packaged in 7 containers?
42 Oranges
What is slope?
There are 234 students in 9 different classrooms. What is the ratio of students to classrooms?
26 students / 1 classroom
Find the unit rate
18 bowlers on 6 lanes
3 bowlers / 1 lane
Tell whether the two rates form a proportion
8 feet in 15 seconds; 16 feet in 40 seconds
It costs $270 for 3 people to go on a fishing trip. How much does it cost for 10 people to go on the fishing trip?
$900
What is the formula for slope?
Y2 - Y1 / X2 - X1
It costs $68 for 16 square feet of flooring. How much does it cost for 12 square feet of flooring?
$51
A painter can paint 350 square feet in 1.25 hours. What is the painting rate in square feet per hour?
280 square feet / 1 hour
45 marbles in 9 bags; 150 marbles in 36 bags
No they are not proportional
The ratio of men to women at a lecture is 2 to 5. A total of 63 people are at the lecture. How many are men?
18 Men
Use the formula to find the slope of a line that passes through
(-2,-3) (3, 4.5)
3/2
At 1:00 p.m., you have 24 megabytes of a movie. At 1:15 p.m., you have 96 megabytes. What is the download rate in megabytes per minute?
4.8 Megabytes per minute
Find the Unit Rate
50 meters in 27.5 seconds
1.82 meters / 1 second
The county requires 2 teachers for every 45 students. Write a proportion that gives the number t of teachers needed for 315 students.
2 teachers / 45 students = t / 315 students
One day 176 people visited a small art museum. The ratio of members to nonmembers that day was 5 to 11. How many people who visited the museum that day were nonmembers?
121 nonmembers
(-8,-10) (-2, -2.5)
5/4
Are these ratios equivalent
20:40 and 18:60
The ratios are not proportional
Your friend’s heart beats 18 times in 15 seconds when at rest. While running, your friend’s heart beats 25 times in 10 seconds. Find the heart rate in beats per minute at rest.
1.2 beats / 1 minute
Write a proportion:
15 free-throw attempts; free-throw score of 60%
15 free throws / x = 60% / 1
One gallon of water weighs about 8.34 pounds. How much does 3.5 gallons of water weigh?
29.19 lbs
Graph the slope of the line that goes through points
(2,5) (5,6)
1/3