Ratios and Rates
Moe can walk 20 feet every 4 seconds. Create a table that shows equivalent ratios!
Seconds Feet
20 2
40 4
60 6
Identify the independent and dependent variables in the statement:
The more yards (y) Carter mows, the more money (m) he earns!
The independent variable is the number of yards mowed.
The dependent variable is the amount of money earned.
You can't get paid if you do not mow in the first place!
7.5 feet = _______ inches
1ft = 12 inches
90 inches
A package of 6 cupcakes costs $4.20. Which expressions could be used to find the unit rate (cost) of 1 cupcake? Then solve!
a. 4.20+6
b. 4.20=6
c. 4.20x6
d. 4.20/6
D. 4.20/ 6
One cupcake is $0.70
Determine if each ration represents a part-to-part or part-to-whole relationship:
a. 8 wins : 14 games
b. 6 chocolate cupcakes to 8 vanilla cupcakes
c. 9 red marbles: 5 blue marbles
d. 15 red apples: 35 apples in a basket
A and D are part-to-whole
B and C are part-to-part
Which is the best buy?
a. $18.09 for 9 bottles of juice
b. $22.33 for 11 bottles of juice
A is the best buy
A baker can bake (p) pies in (h) hours.
What is the dependent variable in this situation?
Explain your reasoning!
The dependent variable is p, the number of pies baked.
The number of pies baked depends on the number of hours the baker bakes.
James wants to convert 8 gallons to liters. 1 gallons= 3.79 liters!
Which expressions will he use?
a. 8x3.79
b. 8 divided by 3.79
c. 3.79 divided by 8
A. 8x3.79
Which statement describes a unit rate?
a. A glass of lemonade is 6 cups of water per 2 cups of lemon juice.
b. A person planted 1 tree in 15 minutes.
c. A person is driving 55 miles per 1 hour.
C. Per hour shows a rate!
Select all the ratios that are equivalent to 8:3
a. 16:3
b. 4 to 3
c. 80/30
d. 32/12
e. 16:6
C
D
E
A library has a ratio of 5:3 of fiction books to non-fiction books.
If the library has 246 non-fiction books, how many fiction books do they have?
410 fiction books
Chesneigh buys some pencils at the store each costing $2.10.
Complete the table I draw on the whiteboard!
0 $0
1 $2.10
2 $4.20
3 $6.30
4 $8.40
Convert:
How many kilograms are equivalent to 20 pounds?
1kg= 2.2lbs
10 kilograms
Create a ratio table to show 16 to 4
I will show you how I want it set up!
4 8 12 16
1 2 3 4
A lemonade recipe uses a ratio of 2:5 for cups of lemonade mix to cups of water.
Complete the table using the ratio given.
On paper
#2 on CFA- Venable will show on board
Abel is training for a race.
I will draw the table on the board
Write an equation to representation the relationship between he total miles ran (m), and the number of weeks (w)
m=5w
Laina is competing in a race that includes a biking and running event.
Laina has to bike for 20 kilometers then run for 5 kilometers.
How many miles long is each event?
1km= .62 miles
Bike: 12.4
Run: 3.1
Knox is working on a math assignment and solves 12 problems every 8 minutes. At this rate, how many problems does Knox solve per minute?
Knox does 1.5 problems per minute!
#5 on paper
#5
A florist is making flower bouquets to sell.
One bouquet uses 3 pink flowers for every 4 white flowers.
The florist has 110 white flowers and 95 pink flowers.
Write a statement on how many bouquets the florist can make? Will she have any left over?
The florist can make 27 bouquets with 2 pink flowers left over and 0 white flowers left over!
Liam is making mashed potatoes using a recipe.
Let m represent the number of mashed potato servings.
Let p represent the number of potatoes used.
Create a table for the values: drawn on board
THEN: Graph the values on a coordinate plane.
I will answer on board.
Kassie is selling bags of popcorn at the football games. She uses string to tie each bag closed.
Kassie has 8 meters of string left, she uses 6 inches of string to tie each bag of popcorn.
How many bags of popcorn can Kassie tie closed?
1m= 39.4 inches
Kassie can tie 52 bags of popcorn!
Miss V solved this problem.
Problem: A go-kart can travel 70 miles in 2 hours. What is its speed in miles per hour?
Identify and explain the error that I made in solving the problem. Provide the correct solution!
I did not set up my equation correct. My units should always be opposite of each other, so I can cross cancel and end with the unit I want! I also left my answer in fraction form, which is not right!
The solution is that the go-kart's speed is 35 miles per hour.
#6 on paper
#6 on paper