Exponential, Logistic and Logarithmic Models Answers

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

The population of an ant colony is modeled by the function , where P(t) is the population of the colony after t days. What does 1,000,000 represent?

Review the graph.

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

A bacterial population is modeled by the function , where t is elapsed time in days. What was the initial population of bacteria?

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?

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

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 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?