15 questions, 22 mins allowed
1
The function P(t) = 12(0.6)^t models the population (in thousands) of a certain species of fish in a lake, where t represents the number of years since the population began being tracked. Which of the following is the best interpretation of the number 12 in this context?
2
The function A(t) = 1500(1.05)^t represents the value of an investment account, where t is the number of years since the investment was made. Which of the following is the best interpretation of the number 1500 in this context?
3
The value of a stock increased by 5% from 2020 to 2021. If the 2021 value is m times the 2020 value, what is the value of m ?
4
A population of rabbits increased by 12% from 2019 to 2020. If the 2020 population is p times the 2019 population, what is the value of p ?
5
A model estimates that at the end of each year from 2020 to 2025, the value of an investment was 120% more than the value of the investment at the end of the previous year. The model estimates that at the end of 2021, the value of the investment was $500. Which of the following equations represents this model, where V is the estimated value of the investment t years after the end of 2020 and t ≤ 5 ?
6
A model estimates that the population of a certain species of bird decreased by 30% each year from 2010 to 2018. The population at the end of 2011 was estimated to be approximately 1,000 birds. Which of the following equations represents this model, where N is the estimated population t years after the end of 2010 and t ≤ 10 ?
7
For the function r(x), the value of r(x) decreases by 30% for every increase in the value of x by 1. If r(0) = 20, which equation defines r(x) ?
8
For the function g(x), the value of g(x) increases by 40% for every increase in the value of x by 1. If g(0) = 10, which equation defines g(x)?
9
The function f(t) = 10,000(0.75)^t models the number of people visiting a museum at the end of each year, where t represents the number of years since the end of 2010, and 0 ≤ t ≤ 5. If y = f(t) is graphed in the ty-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?
10
The function g(t) = 4,500(1.25)^t models the number of trees planted in a city park at the end of each year, where t represents the number of years since the end of 2017, and 0 ≤ t ≤ 5. If y = g(t) is graphed in the ty-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?
11
The function P(t) = 5,000(3)^t/12 represents the number of cells in a culture t hours after an initial observation. How much time, in hours, does it take for the number of cells in the culture to triple?
12
The function N(t) = 1,000(1.5)^t/6 models the number of viral particles in a sample t hours after an initial measurement. How much time, in hours, does it take for the number of viral particles to increase by 50%?
13
The function P(t) = 50,000(1.08)^t models the population of a city t years after a census. Which of the following functions best models the population of the city m months after the census?
14
The function P(t) = 120,000(1.03)^t represents the population of a town t years after a census. Which of the following functions best models the population of the town m months after the census?
15
The function Q(t) = 3,500(1.05)^t gives the estimated number of birds in a certain region, where t is the number of years since a conservation program started. What is the best interpretation of Q(0) = 3,500 in this context?
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