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- a certain strain of bacteria is placed in a petri dish as a part of an experiment. The number of bacteria present in the petri dish, b(t), grows exponentially as a function of t, where t is measured in minutes since the start of the experiment. However, the lab assistant carelessly forgot to measure the number of bacteria at the start of the experiment. If there are 600 bacteria present after 1 minute and 900 bacteria present after 3 minutes, model the number of bacteria b(t) as an exponential function of tThe number of users on a website is 3700 and is growing exponentially at a rate of 82% per year. Write a function to represent the number of users on the website after tt years, where the monthly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per month, to the nearest hundredth of a percent. Write the functionGroup members should create a graph for the function that models the percentage of adult height attained by a boy who is x years old, f(x) = 29 + 48.8 log(x + 1). Let x = 5, 6, 7,. . . . , 15, find function values, and connect the resulting points with a smooth curve. Then create a graph for the function that models the percentage of adult height attained by a girl who is x years old, g(x) = 62 + 35 log(x - 4). Let x = 5, 6, 7, . . . , 15, find function values, and connect the resulting points with a smooth curve. Group members should then discuss similarities and differences in the growth patterns for boys and girls based on the graphs.
- A patient takes a 300 mg tablet for the control ofhigh blood pressure every morning at the same time. The concentrationof the drug in the patient’s system decays exponentially ata constant hourly rate of k = 0.12. After the patient has taken the medication for at least six months, what quantity of drug is in the patient’s body just before the next regularly scheduled morning tablet is taken?On the day of a child’s birth, a parent deposits $25,000 in a trust fund that pays 3% interest, compounded continuously. Determine the number in this account on the child’s 27th birthday. (Round your answer to two decimal places.) Thanksconsider data from the Statistical Abstract of the United States on the fraction of women married for the first time in 1960 whose marriage reached a given anniversary number. The data show that the fraction of women who reached their fifth anniversary was 0.928. After that, for each one-year increase in the anniversary number, the fraction reaching that number drops by about 2%. These data describe constant percentage change, so it is reasonable to model the fraction M as an exponential function of the number n of anniversaries since the fifth.