1. A population of bacteria doubles every 12 hours. Initially, the population of bacteria is 80.

What is the population of the bacteria after 30 hours?

Round to the nearest whole number.

2. What type of exponential function is f(x)=0.75(2.1)xf(x)=0.75(2.1)x ?

What is the function's percent rate of change?

Select from the drop-down menus to correctly complete each statement.

The function is an exponential Choose...growth OR decay function.

The percent rate of change of the function is Choose...210, 110, 75, OR 25%.

3.

Based on the polynomial remainder theorem, what is the value of the function when x = 4?

f(x)=x4−2x3+5x2−20x−4

f(4)= _____

Thanks so much for your help!

Guest Jan 16, 2018

#1**+1 **

1. A population of bacteria doubles every 12 hours. Initially, the population of bacteria is 80.

What is the population of the bacteria after 30 hours?

We have the following

80 (2) ^{t/12} ....so.......when t = 30....we have

80 (2) ^{30/12} ≈ 453

2. What type of exponential function is f(x)=0.75(2.1)^{x}

In the form

f(x) = a* b^{x } if b > 1 we have a growth function as x increases

So......This is a growth function......the rate of change is 2.10 * 100 = 210 %

3. Just put 4 into the function

(4)^4−2(4)^3+5(4)^2−20(4)−4 =

256 - 128 + 80 - 80 - 4 =

124

CPhill
Jan 16, 2018