This exercise uses the population growth model. A culture starts with 8800 bacteria. After 1 hour the count is 10,000. (a) Find a function that models the number of bacteria n(t) after t hours. (Round your r value to three decimal places.) n(t) (b) Find the number of bacteria after 2 hours. (Round your answer to the nearest hundred.) bacteria (c) After how many hours will the number of bacteria double? (Round your answer to one decimal place.) hr

Under a microscope, Ms. Kapinski studies a culture with bacteria. As the number of hours progresses, Ms. Kapinski sees that the bacteria can be modeled by the function ?(?) = 1290(0.76) ? where b represents the number of bacteria t hours after Ms. Kapinski begins her study. (a) What does the value 0.76 represent in this situation? Be sure to explain. (b) What does the value 1290 represent in this situation? Be sure to explain. (c) The number of bacteria in a second study is modeled by the function ?2 (?) = 1180(1.76) ? . i. What does the value of 1180 represent in this situation? ii. What does the difference of 1290 and 1180 mean between the two studies? iii. What does the difference between 0.76 and 1.76 mean between the two studies?

Several years ago wolves were reintroduced in to a national park in North Carolina. Researchers have monitored the populations over the last several years and the per capita growth rate of the population is .5. If the current population size is 100, what equation would you use to determine how large the population will be in ten years? C N(1+r)t N/t *r (N*r)/t

2. An antique computer valued at $6500 depreciates at the rate of 14% per year (b = 0.86). Equation: Circle one: Linear or Exponential 3. The population of flying squirrels in Madagascar started with 3 and the population doubles each year. Equation: Circle one: Linear or Exponential 4. Penny has a stamp collection of 550 stamps. Penny is feeling generous and gives away7 stamps every week. Circle one: Linear or Exponential Equation: 5. The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each min of service. Write a function to model the relationship between the number of minutes of service each month. 6. Jenny bought a 2016 Ford F-150 for $25,000 which depreciates at a rate of 4.3% per year (b = 0.957). Write a function to model the relationship between time and value of the car. 7. Brian used the equation y = 3x + 7 that represents the new cucumber plant that he bought for his yard, where x represents the weeks since the cucumber plant was planted…