Mastering Exponential Models and Equations in Real Life

A bacteria culture doubles in size every 3 hours. If the initial population is 500, how many bacteria will there be after 12 hours?

• 2000

• 8000

• 10000

• 4000

A car's value decreases by 20% each year. If the car is currently worth $15,000, what will its value be after 3 years?

• $12,000

• $5,000

• $10,000

• $7,680

A bank offers an account that compounds interest annually at a rate of 5%. If you deposit $1,000, how much will you have in the account after 5 years?

• 1150.00

• 1276.28

• 1500.00

• 1000.00

A certain tree species grows at a rate of 1.5 times its height every year. If a tree is 2 feet tall now, how tall will it be after 4 years?

• 12 feet

• 6 feet

• 8 feet

• 10.125 feet

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

• 1200

• 500

• 750

• 896

A smartphone's battery life decreases exponentially. If it lasts 24 hours when fully charged, how long will it last after 2 days of regular use, assuming it loses 10% of its life each day?

• 15 hours

• 19.44 hours

• 22 hours

• 20 hours

A viral video is viewed by 1,000 people on the first day and the views double each day. How many views will it have on the 7th day?

• 256000

• 64000

• 128000

• 32000

A certain type of investment grows according to the formula A = P(1 + r)^t. If you invest $2,000 at an interest rate of 4% for 10 years, how much will you have at the end?

• 2800.00

• 2500.00

• 3200.00

• 2960.48

A population of rabbits increases by 50% every month. If there are currently 80 rabbits, how many will there be after 6 months?

• 912

• 720

• 640

• 400

A certain medication's effectiveness decreases by 15% each hour after being taken. If the initial effectiveness is 100%, what will be the effectiveness after 4 hours?

• 45%

• 52.20%

• 70%

• 30%