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Q 1/32
Score 0
The population of a city is growing exponentially at a rate of 2% per year. If the current population is 100,000, what will the population be in 10 years?
30
121,899
145,000
110,000
102,000
Q 2/32
Score 0
The pH level of a substance is given by the formula pH = -log[H+], where [H+] is the concentration of hydrogen ions. If the concentration of hydrogen ions is 0.001 M, what is the pH level of the substance?
30
3
2
1
4
32 questions
Q.
The population of a city is growing exponentially at a rate of 2% per year. If the current population is 100,000, what will the population be in 10 years?
1
30 sec
Q.
The pH level of a substance is given by the formula pH = -log[H+], where [H+] is the concentration of hydrogen ions. If the concentration of hydrogen ions is 0.001 M, what is the pH level of the substance?
2
30 sec
Q.
A bacteria culture is initially made up of 1000 bacteria. The number of bacteria in the culture doubles every hour. After how many hours will there be 8000 bacteria in the culture?
3
30 sec
Q.
A radioactive substance has a half-life of 5 days. If the initial mass of the substance is 100 grams, what will be the mass after 20 days?
4
30 sec
Q.
A certain virus grows exponentially in a population at a rate of 15% per day. If there are initially 500 infected individuals, how many will there be after 7 days?
5
30 sec
Q.
A particular species of tree grows exponentially at a rate of 8% per year. If there are initially 100 trees in a forest, how many will there be after 15 years?
6
30 sec
Q.
What is the x-intercept of the logarithmic function y = log(x)?
7
30 sec
Q.
Which of the following is the domain of the logarithmic function f(x) = log(x)?
8
30 sec
Q.
What is the solution to the logarithmic equation log(4x) = 2?
9
30 sec
Q.
In a real-life situation, logarithmic functions can be used to model the cooling of a hot object. Which of the following is true about the graph of a logarithmic function that represents the cooling process?
10
30 sec
Q.
In a real-life situation, logarithmic functions can be used to model the spread of diseases. Which of the following is true about the graph of a logarithmic function that represents the spread of a disease?
11
30 sec
Q.
In a real-life situation, logarithmic functions can be used to model the efficiency of radioactive decay. Which of the following is true about the graph of a logarithmic function that represents decay efficiency?
12
30 sec
Q.
A population of bacteria doubles every hour. If there are 100 bacteria initially, how many bacteria will there be after 4 hours?
13
30 sec
Q.
A population of rabbits triples every month. If there are 500 rabbits initially, how many rabbits will there be after 6 months?
14
30 sec
Q.
A radioactive substance decays at a rate of 20% per year. If there are 500 grams of the substance initially, how many grams will remain after 5 years?
15
30 sec
Q.
A radioactive substance has a half-life of 10 years. If there are 100 grams of the substance initially, how many grams will remain after 20 years?
16
30 sec
Q.
The population of a city doubles every 10 years. The current population is 100,000. What will be the population after 30 years?
17
30 sec
Q.
What are the zeroes of the exponential function f(x) = 3^x?
18
30 sec
Q.
Which of the following is the range of an exponential function?
19
30 sec
Q.
What is the solution to the exponential equation 2^(3x) = 8?
20
30 sec
Q.
What is the value of x in the equation 5^x = 125?
21
30 sec
Q.
Which of the following is a solution to the inequality 2^x > 8?
22
30 sec
Q.
The population of a city is growing exponentially at a rate of 5% per year. If the current population is 10,000, what will be the population in 10 years?
23
30 sec
Q.
The value of a car depreciates exponentially at a rate of 10% per year. If the current value of the car is $20,000, what will be the value of the car in 5 years?
24
30 sec
Q.
The concentration of a radioactive substance decays exponentially with a half-life of 10 years. If the initial concentration is 100 grams, what will be the concentration after 30 years?
25
30 sec
Q.
A bacteria colony doubles in size every hour. If the initial population of the colony is 1000 bacteria, how many bacteria will there be after 3 hours?
26
30 sec
Q.
A bakery sells 100 cookies every day for a week. If the cost to make a cookie is $0.50, and the bakery wants to make a profit of $1000, how much should they sell each cookie for?
27
30 sec
Q.
Which of the following statements is true about the domain of an inverse function?
28
30 sec
Q.
What determines the inverse of a one-to-one function?
29
30 sec
Q.
In a coffee shop, the manager keeps track of the number of customers that enter the shop each day and the amount of coffee each customer buys. Which of the following statements is a valid one-to-one function?
30
30 sec
Q.
A bakery sells different types of bread. The number of loaves of bread sold each day is recorded along with the price of each loaf. Which of the following statements represents a one-to-one function?
31
30 sec
Q.
A school keeps track of the number of students enrolled in each grade level. Which of the following statements represents a one-to-one function?