Solving and Graphing Exponential Growth Problems

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 12 hours? Solve the exponential equation and explain your reasoning.

• 8000

• 2000

• 10000

• 4000

The value of a car decreases exponentially. If a car is worth $20,000 and loses 15% of its value each year, write an exponential equation to represent its value after 't' years. What will the car be worth after 5 years?

• $12,000.00

• $15,000.00

• $10,500.00

• $8,874.00

A certain investment grows exponentially at a rate of 8% per year. If you invest $1,000, write the exponential equation for the investment's value after 't' years. How much will it be worth after 10 years?

• 1800.50

• 2000.00

• 2158.92

• 2500.00

A tree grows exponentially, increasing its height by 25% each year. If the tree is currently 4 feet tall, write an equation to model its height after 't' years. How tall will the tree be after 4 years?

• 6 feet

• 7.8125 feet

• 8 feet

• 5.5 feet

The half-life of a radioactive substance is 5 years. If you start with 80 grams, write an exponential equation to model the amount remaining after 't' years. How much will remain after 15 years?

• 40 grams

• 20 grams

• 5 grams

• 10 grams

A certain species of fish in a lake is increasing exponentially. If the current population is 200 and it doubles every year, write an equation to represent the population after 't' years. How many fish will there be after 3 years?

• 800

• 400

• 3200

• 1600

A bank offers an account that compounds interest exponentially. If you deposit $500 at an interest rate of 5% compounded annually, write the exponential equation for the account balance after 't' years. What will the balance be after 6 years?

• 750.00

• 673.12

• 500.00

• 600.00

A certain type of mold grows exponentially. If it starts with 100 spores and doubles every 4 hours, write an equation to model the number of spores after 't' hours. How many spores will there be after 16 hours?

• 800 spores

• 400 spores

• 2000 spores

• 1600 spores

The number of users on a social media platform grows exponentially. If there are currently 1,000 users and the number doubles every month, write an equation to represent the number of users after 't' months. How many users will there be after 6 months?

• 8000

• 128000

• 32000

• 64000

A scientist is studying a population of rabbits that grows exponentially. If the initial population is 50 rabbits and it increases by 30% each month, write an equation to model the population after 't' months. How many rabbits will there be after 5 months?

• 150

• 186

• 300

• 220