Solution 6. The number of bacteria in a culture increases from 4,000 to 11,000 in 8 hours. Assuming the growth is exponential, find a formula for the number of bacteria in the culture at any time t. Estimate the number at the end of 30 hours. When will the number be 100,000?

For each exercise, identify the error(s) in planning the solution or solving the problem. Th en write the correct solution

The current student population of New Orleans is 1900. If the population increase at a rate of 13% each year. What will the student population be in 7 years? Write an exponential growth model for the future population (y): y = What will the population be in 7 years? (Round to nearest student)

= A radioactive substance decays according to A 85.6(10-0.015t) where t is the number of hours. How long would it take for there to be only 20 g? (1 calc use)

A desalinization process is eliminating 20% of the salt from seawater every 10 minutes. There are initially 450 g of salt in 10 liters of water. Find an exponential function for A, the grams of salt in the 10 liters of seawater t minutes after the process has begun. A= ? Use the model to predict the amount of salt (in grams) in the seawater after 35 minutes. Round to the nearest whole number. Which is 206 g.

The population of an endangered species decreases at a rate of 7% per year. Approximately how long will it take the population to decrease to half of its current size?

A population numbers 20,000 organisms initially and decreases by 3% each year. Suppose P represents population, and t the number of years of growth. Write an exponential model to represent this situation. P = Preview

The sample of a bacteria is growing exponentially. The initial sample is 1.7 grams. At t = 2 days after the initial measurement, the sample is 2.8 grams. What will the population be t = 13 days after the initial measurement? Your answer should be rounded to the hundredth of a gram.

You add 6 paramecia to a test tube and feed them bacteria. One week  later the population has grown to 15. Assuming that the population is growing exponentially, how many paramecia can you expect after 7 weeks? Round your answer to the closest full number.

Vivian takes a 425 mg aspirin for her headache. The amount of aspirin remaining in her system decays exponentially according to the model A=425⋅(0.855)tA=425⋅(0.855)t, Where AA is in milligrams (mg) and tt is in hours after she takes the aspirin. Answer the following questions, rounding each to the nearest whole mg. (a) How much aspirin is in Vivian's system immediately after taking the aspirin?    (b) How much aspirin is in her system after 3 hours?    (c) How much aspirin is in her system if she takes another aspirin 4 hours after the first?