1. Find the value of b so that c(x) logbx passes through the point (27,3)
A. 3
B. 9
C. Square root of 27
2. A bacteria culture starts with 10,000 bacteria and the number doubles every 40 minutes. Determine a formula for the number of bacteria at time t.
A. f(t) = 10,000 x 20.5t ; where t is the number of hours
B. f(t) = 10,000 x 21.5t ; where t is the number of hours
C. f(t) = 10,000 x 2t ; where t is the number of hours
3. Which of the following is NOT a property of the function f(x) = 5x?
A. It has no x-intercept
B. The graph of the function passes through (-1, 5)
C. The horizontal asymptote is y=0
4. The population of a certain country in 2005 is 102,250,852 and has been growing at the rate of 3.12% per year since then. Assuming an exponential growth model, when will the population of that country be 180 million?
A. 2020
B. 2022
C. 2024
5. Which of the following is a property of the function f(x) = (1/8)x?
A. The graph passes through (1, 8)
B. The graph passes through (0, 1)
C. Its x-intercept is at (1, 0)
Sorry for asking 5 questions. Thank you so much for those who will help. I appreciate it.
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