Ratios
Reduce the ratio
9 cats to 15 dogs
3 cats : 5 dogs
write the rate as a unit rate
300 miles
______
5 hours
60 miles
______
1 hour
What does the word "equivalent" mean?
equal or the same
How do you determine if a table is directly proportional?
write them as factions,reduce them, and compare them. If the reduced fractions are ALL the same, then it is proportional
it costs $5.00 for 2 pounds of turkey. How much will it cost for 6 pounds?
$5.00 $15.00
______ _______
2 lbs 6lbs
reduce the ratio
40 boys to 8 girls
5 boys to 1 girl
write the rate as a unit rate
125 feet
________
5 seconds
25 feet
_______
1 second
20 miles in 5 hours
45 miles in 9 hours
determine if these are equivalent ratios using unit rate
No they are not equivalent
4 miles/1hr not equal to 5 miles/1 hr
is this table proportional?
x y
1 15
2 30
3 45
yes, they all reduce down to 1/15
You used 3 cups of sugar to bake 90 cookies. How many cups do you need for baking 150 cookies?
3 cups 5 cups
_______ _______
90 cookies 150 cookies
Tony has 4 apples to every 3 pears. If he has 28 apples, then how many pears does he have?
21 pears
a box of 9 granola bars costs $7.20. What is the price per granola bar?
$0.80 per granola bar
What 3 ways can you use to solve an equivalent ratio problem?
1. unit rates
2. equivalent fractions
3. cross multiply
is this table proportional?
x y
1 6
5 30
9 55
No it is not proportional
To make 25 pancakes you have to use 5 eggs. How many eggs are needed to make 100 pancakes?
25 pancakes 100 pancakes
_________ ___________
5 eggs 20 eggs
What are the multiple ways to write a ratio?
- as a fraction
-with the word "to"
- with a colon
- with the word per
Trevor paid $37.80 for 14 gallons of gas. What is the price per gallon of gas?
$2.70 per gallon of gas
3 minutes to drive 7 laps
9 minutes to drive 21 laps
determine if these are equivalent ratios by using equivalent fractions to solve
yes they are equivalent
is the table proportional?
x y
3 9
5 15
7 21
8 32
no it is not proportional
a 7 ounce bag of sour gummy worms is $2.70. How much should a 165 ounce bag cost at that price per ounce?
$2.70 $63.64
______ _______
7 oz 165 oz
What are the two types of ratios
part to part
part to whole
Every 8 days, Tommy runs a total of 12 miles. Create a table to find out how many days it will take Tommy to run 48 miles
days miles
8 12
16 24
24 36
32 48
$12 for 3 tshirts
$28 for 7 tshirts
Determine if they are equivalent ratios by using cross multiplication to solve
yes they are equivalent
12x7=84
28x3=84
is the table proportional?
x y
1 12
4 48
6 72
10 120
yea it is proportional, they all reduce down to 1/12
1) Tyler picked 54 apples in 9 minutes. Write this rate as a unit rate.
2) Use the unit rate answer to determine how many apples he could pick in 36 minutes?
1) 54 apples 6 apples
________ _______
9 minutes 1 minute
2) 6 apples 216 apples
________ _______
1 minute 36 minutes