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

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