Unit Rate
Solving Proportion
Proportional Relationship
Percent Change
Percent Applications
100
What is the unit rate if you earn $850 for 17 hours of work?
$50 per hour
100
3 is to 7 as 12 is to __?
3/7=12/x
28
100
Find the constant of proportionality k if there are 30 students and 5 adults on a trip.
k = 6
100
What is the percent change if the price of a soccer ball changes from $25 to $20?
20% decrease.
Explanation: 25 - 20 = 5
5/25=x/100, 20%
100
You earn $36 per hour. You will receive a 5% pay raise next month. How much will you earn per hour next month?
$41.80 per hour
Explanation: 0.05 x 36 = 1.80 more
36 + 1.80 = 41.80
200
Which car is traveling faster?
Car 1: 640 miles in 10 hours
Car 2: 402 miles in 6 hours
Car 2. 67mph > 64mph.
200
A restaurant dishwasher can wash 240 plates in 20 minutes. How long does it take to wash 408 plates?
34 minutes
Explanation:
240/20=408/x
200
True/False: This graph shows a proportional relationship.
False. Not a straight line.
200
What is the new price if a $50 membership fee is increased by 15%?
$57.50
Explanation: 0.15 x 50 = 7.50
7.50 + 50 = 57.50
200
Find the amount of interest if you borrowed $800 for 3 years at 4% interest. Remember, I = P x r x t.
Interest = 800 x 0.04 x 3 = $96
300
Find the unit rate per hour if you vacuum a half of the room in quarter of an hour.
0.5 / 0.25
= 2 room per hour
300
True/False: A class of 8 boys and 12 girls is proportional to a class of 10 boys and 14 girls.
False.
Explanation:
12/8=1.5
14/10=1.4
Not proportional because the unit rates are different.
300
Is the relationship below proportional?
x 6 8 10
y 12 24 40
No. Unit rates are not the same.
12/6=2, 24/8=3, 40/10=4
300
What is the percent change when the Ravens tickets change from $88 to $120? Round the percent to the nearest whole number.
36% increase.
Explanation: 120 - 88 = 32.
32/88=x/100, 36%
300
Each shirt costs $15. It is on sale for 30% off. You buy 3 shirts. What is the total cost?
$31.50
Explanation: 0.30 x 15 = 4.50 less
cost of shirt on sale: 15 - 4.50 = 10.50
3 shirts = 10.50 x 3 = 31.50
400
Which runner is the fastest?
Runner A: 66 meters in 12 seconds
Runner B: equation: m=6s
Runner C: 
Runner B. 6 meters per second.
400
If 100 meters is 1/4 lap around the track, how many meters is 1 lap around the track?
400 meters.
Explanation:
100/0.25=x/1
400
Write the equation for this proportional relationship.
x 2 5 8 10
y 5 12.5 20 25
y=2.5x
400
Currently, 32 teams compete in the World Cup. The number of teams in the 2026 World Cup will increased by 50%. How many teams will participate in the World Cup?
48.
Explanation: 0.50 x 32 = 16 more teams
16 + 32 = 48.
400
You receive 25% off your meal at your favorite restaurant. Your dinner costs $24 and you tipped 18%. How much did you pay at the end?
$21.24
Explanation: discount = 0.25 x 24 = 6
cost of dinner = 24 - 6 = 18
tip = 0.18 x 18 = 3.24
total = 18 + 3.24 = 21.24
500
Find the constant of proportionality for the table.
x 3 8 12 13
y 0.9 2.4 3.6 3.9
0.3
Explanation:
0.9/3=2.4/8=3.6/12=3.9/13=0.3
500
Make the table proportional.
x 4 8 12
y 6 ? 18
12.
Explanation:
4/6=8/x or 8/x=12/18
or
6/4=1.5, 1.5xx8=12
500
What are the 2 criteria to determine if a graph shows a proportional relationship?
1. Straight line
2. through the origin
500
The police department ate 60 donuts yesterday. Today, the department ate 25% less. How many donuts did they consume?
45 donuts.
Explanation: 0.25 x 60 = 15 less donuts
60 - 15 = 45.
500
A 16-pound baby gained weight by 4% last month. Which of the following expressions represent the weight of the baby? Select all that apply.
A) 16 + 0.04
B) 16 + 0.04(16)
C) 16 + 0.4(16)
D) 16(1.4)
E) 16(1.04)
B and E