Ratios, Rates, Unit Rates
1. Find the unit rate:
Cory can type 420 words in 7 minutes
2. Find 2 ratios equivalent to the unit rate.
1. 60 words per minute
2. 120/2 , 180/3 , ...
h / (1/3) = 4 / 2
h = 2/3
Johnny has 400 acres of land. He wants to divide the land into three parts (barn, garden, pasture) using the ratio 2 : 5 : 9. How many acres will go to each part?
barn: 50
garden: 125
pasture: 225
Mary makes greeting cards. She can make 5 cards in 1 hour. How long would it take to make 17 cards?
x= 3.4 hours
Fill in the blanks:
Similar figures have the same shape and same or different size. Two figures are similar polygons if their corresponding angles are _________________ and the lengths of their corresponding _________ are proportional
1. congruent/same/equal
2. sides
Find the unit rate
$25 for 20 tickets
$1.25 per ticket
3 / (x+5) = 12 / 36
x=4
Find the scale factor: 5 inch model of 75 foot RV.
(hint: must have the same units of measure to find the scale factor)
5 / 900 = 1 / 180
Mary makes greeting cards. She can make 5 cards in 1 hour. How long would it take to make 17 cards?
Is this an an example of a direct proportion or inverse proportion?
direct because as time increases, the number of cards she can make increases
Image B
What is the angle measure of angle F?
22 degrees
Which is the better deal:
a dozen roses for $19.99 or 18 roses for $25?
18 roses for $25
1.2 / 73.2 = n / 91.5
n=1.5
The width of Mrs. Pischke's living room is 25 feet. If the blueprint has a scale of 1.5 in. : 3 feet, how wide is the living room on the blueprint?
12. 5 inches
It takes 6 workers 8 hours to build a fence. If 2 workers leave, how long will it take to build the fence?
*Think: If there are LESS workers, will it take MORE or LESS time to build the fence?
12 hours
Image B
What is the angle measure of angle B?
45 degrees
There are 24 dogs, 19 cats, and 4 rabbits at the local shelter.
What is the ratio of dogs to rabbits?
What is the ratio of cats to total number of animals at the shelter?
ratio of dogs to rabbits: 24/4 = 6/1
Ratio of cats to total: 19/47
If 5 apples cost $2.50, how much will 12 apples cost?
$6
The perimeter of a polygon is 800 m. If the sides are in a ratio of 4 : 7 : 9, find the length of each side.
160, 280, 360
It takes 6 workers 8 hours to build a fence. If 2 workers leave, how long will it take to build the fence?
Is this an example of a direct proportion or inverse proportion?
Inverse because if there are LESS workers, will it take MORE time to build the fence
Image B
What is the length of side AC?
6
Samson says that 7/8 and 4/5 form a proportion because you can subtract 3 from the numerator and denominator of 7/8 to get 4/5. Is he correct? Explain your reasoning.
Samson is incorrect. Proportions can only be formed by multiplying or dividing the numerator and denominator by the same number.
There are 8 pints in a gallon. How many pints are in 7 gallons?
56 pints
Hot Wheels are created on a scale factor of 1 : 64. If a Dodge Ram is 204 inches long, how many inches will the toy car be?
6 inches
If Sammy makes $24 babysitting for 3 hours, how much will he make if he babysits 10 hours at the same rate?
$80
Image A
x=1.5 in