Answer:
Where a =1 represent the initial amount of bacteria and b =2 represent the growth factor, for this case since each hour we double the number of bacteria for this reason b =2. And t represent the number of hours after the first bacteria is founded.
So then our model would be given by:
And since we want to find the number of bacteria at the end of one day, and we know that one day = 24 hours we can replace the value of t =24 into the model and we got:
Then we can conclude that at the end of the day we would expect 16777216 bacteria
Step-by-step explanation:
For this case we can use the exponential model given by this general expression:
Where a =1 represent the initial amount of bacteria and b =2 represent the growth factor, for this case since each hour we double the number of bacteria for this reason b =2. And t represent the number of hours after the first bacteria is founded.
So then our model would be given by:
And since we want to find the number of bacteria at the end of one day, and we know that one day = 24 hours we can replace the value of t =24 into the model and we got:
Then we can conclude that at the end of the day we would expect 16777216 bacteria
F(g(x))=7g(x)+4
f(g(-3)=7 V(-3+4) + 4= 7*1+4=7+4=11
the answer is 11
In realistic world there are so many examples which use exponential and logarithmic functions.
Use of Logarithmic function
We can find use of logarithmic function in measuring earthquake (Richter Scale) , the brightness of stars , and chemistry(pH balance , measure of acidity and alkalinity)
For example:
In Richter Scale , a logarithmic function that is used to measure the magnitude of earthquake.
If A = measure of amplitude of earthquake wave.
= Amplitude of smallest detectable wave.
From this we can find R the Richter scale measure of magnitude of earthquake.
Use of Exponential Function:Exponential function may use in finding compound interest , population growth , radioactivity decay , etc.
For example :
As we know the formula for compound interest is
Where P is principal amount , r = rate of interest(decimal) , n is the number of compounding period , t is time.
For
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