Linear vs Exponential Functions Quiz
Quiz
•
Mathematics
•
9th Grade
•
Practice Problem
•
Easy
Standards-aligned
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20 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Decide whether the word problem represents a linear or exponential function. A library has 8000 books, and is adding 500 more books each year.
Linear
Exponential
Neither
Both
Answer explanation
The library starts with 8000 books and adds a constant 500 books each year. This consistent addition indicates a linear function, as the total number of books increases by the same amount annually.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Decide whether the word problem represents a linear or exponential function. A company starts with 2,000 customers and gains 150 new customers each month.
Linear
Exponential
Neither
Both
Answer explanation
The library starts with 8000 books and adds a constant 500 books each year. This consistent addition indicates a linear function, as the total number of books increases by the same amount annually.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Decide whether the word problem represents a linear or exponential function. A taxi company charges a flat fee of $10, plus $2 for every mile traveled.
Linear
Exponential
Neither
Both
Answer explanation
The problem describes a fixed membership fee of $50 plus a variable cost of $3 for each gym visit. This results in a total cost that increases linearly with the number of visits, making it a linear function.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Decide whether the word problem represents a linear or exponential function. A population of bacteria starts at 50 and doubles every hour.
Linear
Exponential
Neither
Both
Answer explanation
The problem describes a situation where the amount of money triples each month, indicating a constant percentage increase. This is characteristic of exponential growth, not linear, which would involve a constant addition.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Decide whether the word problem represents a linear or exponential function. A car's value starts at $20,000 and decreases by half every year.
Linear
Exponential
Neither
Both
Answer explanation
The problem describes a situation where the amount of money triples each month, indicating a constant percentage increase. This is characteristic of exponential growth, not linear, which would involve a constant addition.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
At the start of a carnival, you have 50 ride tickets. Each time you ride the roller coaster, you have to pay 6 tickets. Is this situation linear or exponential?
Linear
Exponential
Neither
Both
Answer explanation
This situation is linear because each ride costs a fixed number of tickets (6). The total number of tickets decreases by a constant amount with each ride, indicating a linear relationship.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
You have 80 game tokens at an arcade. Each time you play a game, it costs 8 tokens. Is this situation linear or exponential?
Linear
Exponential
Neither
Both
Answer explanation
This situation is linear because each ride costs a fixed number of tickets (6). The total number of tickets decreases by a constant amount with each ride, indicating a linear relationship.
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