Exponent Word Problem

A bacteria culture starts with 1000 bacteria and doubles every hour. Write an exponential expression to represent the number of bacteria after x hours.

If a car depreciates by 20% each year, write an exponential expression to represent the value of the car after x years if it was originally worth $10,000.

A radioactive substance decays by 30% every 5 hours. Write an exponential expression to represent the amount of substance remaining after x hours if the initial amount was 500 grams.

A population of rabbits triples every month. Write an exponential expression to represent the population after x months if there were originally 50 rabbits.

Eduardo currently has 500 followers on TikTok. He makes a video after the basketball game and it goes viral! Since he became internet famous, the number of followers is increasing by 25% daily. Write an exponential function that represents the relationship between x, the number of days since Eduardo posted the video and y, the total number of followers Eduardo has.

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

y = ​ (a)   ( 1 ​ (b)   ​ (c)   )^x (^ means to power of x - x is the exponent)

If an investment grows by 5% each quarter, write an exponential expression to represent the value of the investment after x quarters if the initial amount was $500.

A forest fire spreads to double its size every 6 hours. Write an exponential expression to represent the size of the fire after x hours if it originally covered 10 acres.

If a city's population increases by 10% each year, write an exponential expression to represent the population after x years if it originally had 100,000 residents.

A bank account earns 3% interest compounded annually. Write an exponential expression to represent the balance after x years if the initial deposit was $2000.