Proportional Relationships and Unit Rate
What is unit rate?
A unit rate is the ratio of two quantities when one quantity equals 1
Find 25% of 80
20
-12 + 7
-5
6a + 5b
6a + 5b
What is the slope
y = 3x + 4
3
What does mph mean and how would I find the unit rate?
mph mean miles per hour
I would find the unit rate by dividing the amount of miles by the amount of time in hours
Find 35% of 200
70
(5/8) - (2/8)
(3/8)
-3a + 4 - 5a + 6
-8a + 10
What is the formula to find the slope when given two points?
(y2 - y1 )/ ( x2 - x1)
A baker can make 24 cookies in 3 hours. What is the unit rate (cookies per hour)?
8 cookies per hour
The price of a book was reduced from $10 to $6. By what percentage was the price of the book reduced?
40%
(3/5) + (1/6)
(23/30)
4a + 2b + 3a - 5b + 1
7a - 3b + 1
What is the slope between the two points
( 2,3) and (5,9)
2
A truck travels 180 miles on 6 gallons of gas. What is the truck's unit rate in miles per gallon?
30 miles per gallon
At a school the ratio of boys to girls is 3:5. If there are 120 total students, how many girls and how many boys are there?
45 boys and 75 girls
A smoothie calls for (2/5) cups of milk for 1 serving. If you have (3/5) cups of milk, how many servings can you make?
1.5 servings
8m + 5n - 3m + 2n - 7
5m + 7n - 7
What is the slope between the two points
(1,2) and (4,8)
2
A car travels 120 miles in 2 hours at a constant speed. What is the unit rate (miles per hour)? How far will the car travel in 5 hours?
300 miles
At a concert, the ratio of adults to children is 2:7. If there are 162 people total, how many adults and how many children are there?
36 adults and 126 children
You have 5 pizzas. You use 2 and (3/4) pizzas for a party. How many pizzas do you have left?
2 and (1/4) pizzas
2(3x - 2) + (4x + 6)
10x + 2
What is the slope between the two points
(-2,5) and (1,-1)
-2