Log Word Problems

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Solve

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The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years?

• $12,800.00

• $13,629.44

• $17,600.00

• $28,098.56

Using logarithms to solve real-world problems: The value of a car depreciates by 10% each year. If the initial value of the car is $20,000, what will be its value after 5 years?

• The value of the car after 5 years will be $25,000.

• The value of the car after 5 years will be $18,000.

• The value of the car after 5 years will be $12,861.30.

• The value of the car after 5 years will be $22,000.

Solve the real-world problem using logarithms: If the intensity of an earthquake is measured to be 1000 times the minimum intensity, what is its magnitude on the Richter scale?

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Solve the real-world problem using logarithms: A certain radioactive substance decays at a rate of 5% per year. If you start with 100 grams, how much will remain after 20 years?

• Approximately 35.85 grams

• Approximately 50 grams

• Approximately 60 grams

• Approximately 75 grams

Solve the real-world problem using logarithms: If a population of bacteria doubles every 3 hours, how long will it take for the population to grow from 100 to 800?

• 9 hours

• 12 hours

• 6 hours

• 3 hours

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?

• 4 people.

• 22,972 people.

• 1,169,029 people.

• 1,188,311 people.

Solve the real-world problem using logarithms: If a car depreciates at a rate of 20% per year, how many years will it take for the car's value to be half of its original value?

• Approximately 3 years

• Approximately 4 years

• Approximately 5 years

• Approximately 6 years