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Percent Change Functions

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

A shoe sales associate earned $300 in August. In September she earned 8% more than she did in August. How much did she earn in September?

a)

$308

b)

$324

c)

$200

d)

$380

2.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)x

b)

y = 15(1.35)x

c)

y = 15(0.35)x

d)

y = 35(1.15)x

3.

The expression 12(1.02)t models the population of elephants in a wildlife refuge after t years since 1975.

What does the value 1.02 represent?

a)

The number of elephants was 102 in 1975.

b)

The number of elephants increases by 2% each year.

c)

The number of elephants increases by 102% each year.

d)

Two extra elephants join the population each year

4.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

a)

y=5000(1 - 0.30)x

b)

y=30(5000)x

c)

y=5000(1 + 0.30)x

d)

y=5000xx

5.

When finding percent change you must first (a)   ​ the new number from the ​ (b)   ​ number to find the amount of change.

Choose from the below words

subtract

original

add

percent

6.

Drag and drop the correct labels for this Percent change model.

7.

What is the percent change when a quantity increases from 100 to 150?

a)

25%

b)

50%

c)

75%

d)

100%

8.

Calculate the percent change from 50 to 75.

a)

25%

b)

50%

c)

75%

d)

100%

9.

The original value of a painting is $1400, and the value increases by 9% each year. Write a function to model this situation.

a)

y=1400(1.09)x

b)

y=1.09(1400)x

c)

y=1400(.91)x

d)

y=1.09x

10.

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

a)

14327

b)

4309

c)

839

d)

7680

11.

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

a)

9766

b)

9006

c)

9765

d)

5433

12.

In 2011, the population of deer in a forest was 650. In 2012, the population increases by 15%. Write an expression, using only multiplication, that represents the deer population in 2012.

4 lines
13.

If the deer population continues to increase by 15% each year, write an expression that represents the deer population \(t\) years after 2011.

4 lines
14.

Calculate the percent increase. Round to the nearest percent.


Original: 74

New: 85

a)

0.15%

b)

0.13%

c)

13%

d)

15%

15.

Calculate the percent increase. Round to the nearest percent.


Original: 45

New: 92

a)

51%

b)

1.04%

c)

104%

d)

.51

16.

Lacey bought a new purse that originally cost $25 and is on sale for $15. Find the percent of change in the price in the purse.

a)

Decrease of 40%

b)

Decrease of 10%

c)

Decrease of 30%

d)

Decrease of 20%

17.

What type of function can model the story below?

The value of a rare collectable item is appreciating at 15% per year.

a)

Linear because this has a constant rate of change.

b)

Exponential because this grows at a constant percent rate

c)

Quadratic because this is a projectile motion model

18.

What type of function can model the story below?

A Instagram influencer makes a post on her social media. The number of likes on her post increases around 30% each day.

a)

Linear because this has a constant rate of change.

b)

Exponential because this grows at a constant percent rate

c)

Quadratic because this is a projectile motion model

19.

Tickets to Disney World are $100.The price is going to increase on January 1. What is the percent of change if the cost increases to a $120?

a)

25%

b)

18%

c)

20%

d)

50%

20.

Last year the enrollment at Clark Middle School was 465 students. This year the enrollment is 525 students. What is the percent of increase? Round to the nearest percent.

a)

113%

b)

100%

c)

13%

d)

87%