5272道题目5525 条题源记录 · 相同内容已合并
指数增长・衰减与复利挑战
\( N(t)=1,000\left(\frac{3}{2}\right)^{\frac{t}{3}} \)
The function N gives the estimated number of bacteria in a growth medium t hours after a study began. According to the function, the number of bacteria is estimated to increase by 50% every k minutes. What is the value of k?
原库参考解析
指数增长・衰减与复利进阶
The function \( P(x)=685(1.128)^x \) models the number of gray seal pups each year from 1967 through 1997 on Sable Island, Nova Scotia, where x is the number of years after 1967. Which of the following is the best interpretation of " P(9) is approximately equal to 2,025" in this context?
原库参考解析
指数增长・衰减与复利进阶
On January 1, there were 231 views of a video posted on a social media site. Every 2 days after January 1, the number of views of the video had increased by 60% of the number of views 2 days earlier. The function \( f \) gives the predicted number of views x days after January 1. Which equation defines \( f \)?
原库参考解析
指数增长・衰减与复利挑战
The function \( P(x)=685(1.128)^x \) models the number of gray seal pups each year from 1967 through 1997 on Sable Island, Nova Scotia, where x is the number of years after 1967. Which of the following is the best interpretation of " P(28) is approximately equal to 19,968" in this context?
原库参考解析
指数增长・衰减与复利挑战
On January 1, there were 231 views of a video posted on a social media site. Every 3 days after January 1, the number of views of the video had increased by 55% of the number of views 3 days earlier. The function \( f \) gives the predicted number of views x days after January 1. Which equation defines \( f \)?
原库参考解析
指数增长・衰减与复利挑战
At the start of an experiment, the pressure inside a container was 15 pounds per square inch (psi). The pressure inside the container doubled every 24 minutes after the start of the experiment. Which equation represents this situation, where y is the pressure, in psi, inside the container x minutes after the start of the experiment?
原库参考解析
指数增长・衰减与复利挑战
The function \( f(t)=90,000(2)^{\frac{t}{600}} \) gives the number of bacteria in a population t minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the population to double?
原库参考解析
指数增长・衰减与复利进阶
When a scientist began observing a sample of an isotope, the mass of the sample was 530,000 milligrams. The mass of the sample decreases by half approximately every 5 days. Which of the following is closest to the mass, in milligrams, of the sample 35 days after the scientist began observing the sample?
原库参考解析
指数增长・衰减与复利基础
The number of cells of the bacteria Bacillus megaterium doubles every 25 minutes during its growth period when placed in a medium of sucrose-salts in a controlled laboratory environment. If a sample of 530 cells of Bacillus megaterium is placed in sucrose-salts in a controlled laboratory environment, which function \( f \) best represents the number of cells of the bacteria x minutes after the growth period begins, where x is less than the number of minutes in the growth period?
原库参考解析
指数增长・衰减与复利挑战
\( f(x)=23(1.20)^{\frac{x}{4}} \)
For the given function \( f \), the value of \( f(x) \)increases by p% for every increase of x by 8. What is the value of p ?
原库参考解析
指数增长・衰减与复利挑战
A model estimates that in a particular forest, the number of trees with any given diameter measured at shoulder height is 21% less for each 1-inch increase in tree diameter measured at shoulder height. The model can be written in the form \( f(x)=ab^x \), where a and b are constants and x is the tree's diameter, in inches, measured at shoulder height, and \( x\ge5 \). The model estimates that 3,100 trees in this forest have a diameter of 13 inches measured at shoulder height. Which function best represents this model?
原库参考解析
指数增长・衰减与复利进阶
The predicted population of a city x years after 1984, where \( x\le10 \), can be modeled by the function \( f(x)=47,000(1.03)^{x} \) . Which of the following is the best interpretation of the statement "\( f(6) \) is approximately equal to 56,120" in this context?
原库参考解析
