A study of the annual population of bees in a county park shows the population, B(t)𝐵(𝑡), is declining due to pesticide usage and can be represented by the function B(t)=1872(.83)t𝐵(𝑡)=1872(.83)𝑡, where the t𝑡 represents the number of years since the study started. Based on the function, what is the percent the bees population declines by each year?

The population of a bee colony (in thousands of bees) is given by the following expression P(t) = 60−(35)/(t+ 1).The variable t represents time in years.(a) How big is the bee colony when t= 0?

Instructions: Interpret the function given in the context of the real-world situation described to answer the question.When a weed solution is added to a lawn, the number of weeds can be represented by the function W(d)=1650(.85)d𝑊(𝑑)=1650(.85)𝑑 where d𝑑 is the number of days since application. By what percent does the population of weeds decrease each day?Answer 1 Question 15 %

At time 𝑡=0 years, the population of a certain city was 23,144. During each of the next 10 years, the population decreased by 4% per year. Based on this information, which of the following models the population as a function of time 𝑡, in years, for 0≤𝑡≤10 ?Responses23,144-0.04𝑡23,144 minus 0.04 t23,144-0.96𝑡23,144 minus 0.96 t23,1440.96𝑡23,144 open parentheses 0.96 close parentheses to the power of t

Select the correct answer.A population of sea turtles decreases by 25% per year. The population size is currently 1,024. Which expression calculates the population x years from now? A. 1.25⁢(1,024)𝑥 B. 0.25⁢(1,024)𝑥 C. 1,024⁢(0.75)𝑥 D. 1,024⁢(0.25)𝑥

At the beginning of a population study, a city had 300,000 people. Each year since, the population has grown by 5.8%.Let t be the number of years since start of the study. Let y be the city's population.Write an exponential function showing the relationship between y and t.