Equivalent Ratios
Select all the ratios that are equivalent to 7 : 3.
A. 14 : 6
B. 21 to 9
C. 3 : 7
D. 28/12
E. 15 : 6
A,B,D
A. A student reads 24 pages in 6 days.
B. A student reads 4 pages per day.
C. A student read 24 pages this week.
D. A student finished 1 book in 6 days.
B. A student reads 4 pages per day.
How do you write an equation for a table, graph, or word problem with two variables and a unit rate? How do you set up the equation?
You need to find the independent and dependent variables, and the constant.
Equation: y=px, dep=ind x constant
Convert.
How many liters are equivalent to 20 quarts?
19 L
What two variables (letters) are always used and represented on a table and graph?
Which is the independent and which is the dependent?
x and y
A snack shop sells a ratio of bags of popcorn to bags of pretzels of 4 : 7.
If the shop sold 280 bags of pretzels, how many bags of popcorn did they sell?
160 bags of popcorn
A cyclist rides 9 laps in 63 minutes.
What is the rate, in minutes, that it takes the cyclist to complete one lap?
7 minutes
A person pays a babysitter, m, dollars for, h, hours of babysitting.
Write an equation to represent the relationship between the number of hours, h, and the money paid, m.
m=16x
A chemist is preparing a solution in a laboratory.
The experiment requires 415 milliliters of purified water.
Approximately how many fluid ounces of water does the chemist need? Round to the nearest hundredth.
12.45 Fluid Ounces
The ratio of x to y is 3/9. All values of x and y are whole numbers less than 50.
Fill in the table.
Answers may vary. All "x's" are multiplied by 3 (constant).
Complete the table using the ratio given.
11.2, 12.8, 16, 17.6
A high-speed train travels 2,400 miles in 20 minutes.
At this rate, how far does the train travel in 1 hour?
7,200 miles
Write an equation to represent the graph.
y=2x or any equivalent equation
29. Olympic swimming events are measured in meters.
Only women participate in the freestyle 800 meter event.
Only men participate in the freestyle 1500 meter event.
How many yards long is each event? Round to the nearest hundredth if necessary.
Women’s 800 meter event:
Men’s 1500 meter event:
800m= 872 yards
1500m= 1635 yards
An employee at an ice cream shop earns the same amount of money for each hour she works.
Let h represent the number of hours the employee works.
Let m represent the amount of money she earns.
Part A: Complete the table for the values of h.
Part B: Graph the values from the table on the coordinate plane.
Graph: Check paper