Modeling with Exponential and Logarithmic Equations Answers

A bacterial culture starts with a population of 750, and grows continuously at a rate of 10.43% per day. What is the approximate population after 2.5 days?

A manufacturer introduces a new computer, and the marketing department uses the function to predict monthly sales. Based on the model, approximately how many computers are expected to sell during the fifth month?

A money market account offers 5% annual interest compounded continuously. To achieve a $50,000 balance in 12 years, what initial deposit is required? (Assume no future deposits or withdrawals.)

In a laboratory, the number of bacteria in a petri dish after t days is modeled by the function . What does 300,000 represent?

Review the graph.

A piece of charcoal was unearthed at an archeological site and found to contain 10% of its original carbon-14. The half-life of carbon-14 is 5,730 years. This means that after 5,730 years, only half of the original amount of carbon-14 will remain. Which equation can be solved to determine the age of the charcoal?

Review the table of a firefly population in a laboratory.Time (in days)12345Population1,0001,3011,4771,6021,699

An investment is modeled by the function . What does 2,500 represent?

A rabbit population is modeled by , where y is the number of rabbits after t months. How many rabbits were there initially?

Malia is trying to answer the question, "How many years would it take for an initial investment of $20,000 to grow to $80,000, with an 8.5% annual interest rate compounded continuously?” Which equation should Malia use?