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Exponential Growth & Logarithmic Equations: Grade 10 Quiz

Authored by Anthony Clark

English, Mathematics

10th Grade

CCSS covered

Exponential Growth & Logarithmic Equations: Grade 10 Quiz
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 12 hours?

4000

8000

10000

2000

Tags

CCSS.HSF.LE.A.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The value of a car decreases exponentially. If a car is worth $20,000 and loses 15% of its value each year, what will its value be after 4 years?

10440.13

12000.50

8500.75

15000.00

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A certain investment grows exponentially at a rate of 5% per year. If you invest $1,000, how much will it be worth after 10 years?

2000.00

1500.00

1628.89

1200.50

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The half-life of a radioactive substance is 5 years. If you start with 80 grams, how much will remain after 15 years?

10 grams

40 grams

20 grams

5 grams

Tags

CCSS.HSF.LE.A.4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A certain species of fish in a lake is modeled by the function P(t) = 200e^(0.3t), where P is the population and t is time in years. What is the population after 5 years?

500

1200

750

896

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A bank offers an account that compounds interest continuously at a rate of 4%. If you deposit $2,000, how much will you have after 3 years?

2400.00

2255.00

2100.00

2005.00

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The formula for the amount of a substance remaining after t years is A(t) = A_0 * (1/2)^(t/h), where A_0 is the initial amount and h is the half-life. If the half-life is 10 years and you start with 160 grams, how much will remain after 20 years?

20 grams

80 grams

40 grams

100 grams

Tags

CCSS.HSF.LE.A.4

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