*For problems one through three, write an exponential equation to represent each situation. Be sure to define your variable.


1. A person deposits $1500 into a savings account that generates 7.3% interest per year. When will the account contain $8000?

2. The population of a town increases 3% every year. There are currently 25,000 people living in the town. When will the town have 40,000 people?

3. The price of gas is declining 2% each week. The price is currently $2.06 per gallon. When will the price be $1.90 per gallon?

*For problems four and five, write an exponential equation to represent each situation, and solve the equation to answer the question. Be sure to show to define your variable and show all of your work.

4. An amount of bacteria is quadrupling every eight minutes. If there are currently five bacteria, when will there be 5120 bacteria?

5. The half-life of a substance is 120 years. If there are currently 300 grams of the substance, when will 75 grams remain?

Thank you so much if you help! Please show all work. I’m not really sure how to tackle these problems and This is eighth grade math btw