General Idea:
The Rules for Transformations of Functions are given below:
If f(x) is the original function, a > 0 and c > 0; Then
Applying the concept:
In the function y=5x^2-2, the effect that the number 5 have on the graph, as compared to the graph of y=x^2 is given below:
C.it stretches the graph vertically by a factor of 5
The answer is: 23.77 hours
<h2>Why?</h2>Where:
Total(t) is equal to the amount for a determined time (in hours)
<em>Start</em> is the original amount
<em>t </em>is the time in hours.
For example, it's known from the statement that the bacteria double their population every 15 hours, so it can be written like this:
To calculate how long it takes for the bacteria cells to increase to 300, we should do the following calculation:
So, to know if we are right, let's replace 23.77 h in the equation:
Total(t)=100*2^\frac{23.77}{15}=299.94
and 299.94≅300
Have a nice day!