IF THE FUNCTION IS LINEAR OR EXPONENTIAL WORKSHEET

Decide whether the word problem represents a linear or exponential function. Circle either linear or exponential. Then, write the function formula. 

Problem 1 :

“A library has 8000 books, and is adding 500 more books each year.” Linear or exponential?

y = __________________

Solution

Problem 2 :

“A gym’s customers must pay $50 for a membership, plus $3 for each time they use the gym.” Linear or exponential?

y = __________________

Solution

Problem 3 :

“A bank account starts with $10. Every month, the amount of money in the account is tripled.” Linear or exponential?

y = __________________.

Solution

Problem 4 :

“At the start of a carnival, you have 50 ride tickets. Each time you ride the roller coaster, you have to pay 6 tickets.” Linear or exponential?

y = __________________

Solution

Problem 5 :

“There are 20,000 owls in the wild. Every decade, the number of owls is halved.” Linear or exponential?

y = _____________

Solution

Problem 7 :

Ms. Hunter takes off 10 points for each day an assignment is turned in late. The assignments are worth 100 points each.

Solution

Problem 6 :

A science experiment involves periodically measuring the number of mold cells present on a piece of bread. At the start of the experiment, there are 50 mold cells. Each time a periodic observation is made, the number of mold cells triples.

a) Write a function formula equation (y = ···) for the number of mold cells present, where x stands for the observation number.

b)

exponential-function-q1

Solution

Problem 7 :

Ms. Hunter takes off 10 points for each day an assignment is turned in late. The assignments are worth 100 points each.

Solution

Problem 8 :

There are 200 ladybugs in a certain population. The population is decreasing by 14% per day.

Solution

Problem 9 :

Your salary starts at $23000 and goes up by 5% per year.

Solution

Problem 10 :

A painter is going to charge $90 for paint and $35 an hour to paint your kitchen.

Solution

Answer Key

1)  y = 8000 + 500x, It is linear function.

2)  y = 50 + 3x, it is linear function.

3)  y = 10(3)x, it is exponential function.

4)  y = 50 - 6x, it is linear function.

5)  y = 20000(1/2)x, it is exponential function.

6)  a)  y = 50 (3)x, it is exponential function.

b)  

Observation number(x)

0

1

2

3

4

5

Mold cell count(y)

50

150

450

1350

4050

12150

7) y = 100 - 10x, it is a linear function.

8)  200 (86/100)xIt is exponential function.

9)  y = 23000(105/100)x, it is exponential function.

10)  y = 90 + 35x, it is linear function.

More Practice Questions

exponential-growth-and-decay-word-problems

For more problems and solution

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