Equivalent Ratios
Unit Rates
Proportional Vs. NonProportional
Scale Factor
Writing Equations
100
Which of the following ratios are equivalent to 8:20
4:10
1:4
6:15
4:10
6:15
100
Find the unit rate:
450 miles in 9 hours
50 miles per hour
100
How do you know if a relationship is proportional?
Proportional relationship has the following:
- Goes through the origin (0,0)
- Straight Line
- Has a unit rate/ constant of proportionality
100
What is the scale factor from A to B?
3/2
100
Josh works at Walmart stocking shelves. He makes $13.00 an hour. Write an equation for the relationship between hours worked (h) and how much money he makes (m).
m = 13h
200
Select all the ratios that are equivalent to 2:3
8:12
6:9
9:12
8:12
6:9
200
Find the unit rate:
14 pens for $5.65
$0.40 per pen
200
Is the following relationship proportional or not?
Proportional relationship
200
What is the scale factor from A to B
1/2
200
Josh can buy 6 pounds of apples for $14. Write an equation to represent cost (c) for (a) apples.
c = 7/3a
300
Select ALL equivalent ratios to 45:60
15:25
4:3
12:16
9:15
12:16
300
8 boxes of markers cost $32.80. How much would 12 boxes cost?
$49.20
300
Is this proportional? If so, what is the constant?
Not Proportional
300
This image is a sketch of a new building being built. What would the perimeter of the actual building be?
1 cm = 4.5 feet
108 feet
300
If 16 burgers cost $32, what equation could be used to represent the amount (a) in dollars that it costs to buy burgers (b).
a = 2b
400
Select ALL equivalent ratios to 43:86
8:24
12:6
1:2
86:172
1:2
86:172
400
In 1/8 of an hour, Michael can ride his bike 3/4 of a mile. How far can he ride in one hour?
6 miles
400
Is this proportional? If so, what is the equation for the table?
Proportional
m = 9h
400
The following is a drawing in inches of a new walking path in the park. What would the total distance of the actual walking path be?
.5 inches = 10 yards
800 yards
400
For every $8 that you spend, you get to throw 3 footballs in a booth at the fair. Pick the equation that would show the cost (c) of throwing footballs (f).
c = d-1
c = 8/3f
c = 3/8f
c = 8/3f
500
Select ALL equivalent ratios to 35:42
6:7
5:6
6:5
70:84
5:6
70:84
500
A dozen donuts costs $10, so how much would 56 donuts cost?
$46.67 or $46.48
500
Is this a proportional relationship? If so, what is the equation for the relationship?
Proportional
c = 1.25b
500
On a map, the distance between Little Rock and Memphis is 3 inches. What is the actual distance between those cities if the scale factor is
.5 inches = 30 miles
180 miles
500
Leah rents a bike for 3 days and it costs $15. Write an equation where (r) is the rental charge and (d) is the number of days she rents the bike.
r = 5d