Two different bacteria are growing in a lab. The following functions represents the bacteria. Bacteria A: f(x) = 1000 . 3^x, where x is number of hours. Bacteria B: g(x) = 3000 . 2^x, where x is number of hours.Which of the following statements are true? Select all that apply.( )Bacteria B is growing at a fasster rate than Bacteria A.( ) Baccteria B started with 3000 bacteria.( ) Bacteria A doubles every three hours.( ) Bacteria B doubles every hour.( ) In three hours, the amount of bacteria A will be greater than the amount of Bacteria B.
Accepted Solution
A:
For this case we have a function of the form: y = A (b) ^ x Where, A: initial amount b: growth rate x: time We then have the following functions: f (x) = 1000. 3 ^ x g (x) = 3000. 2 ^ x For x = 3 we have: f (3) = 1000. 3 ^ 3 = 1000 * 27 = 27000 g (3) = 3000. 2 ^ 3 = 3000 * 8 = 24000 Answer: the following statements are true: Baccteria B started with 3000 bacteria Bacteria B doubles every hour. In three hours, the amount of bacteria A will be greater than the amount of Bacteria B.