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olivernolasco23
15.10.2019 •
Mathematics
Apopulation of bacteria triples every hour. is this situation linear or exponential? a. linear, because the function increases by a constant amount b. exponential, because the function decreases c. exponential, because the function grows by a common factor d. linear, because the function increases
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Ответ:
C. Exponential, because the function grows by a common factor
Step-by-step explanation:
Given : A population of bacteria triples every hour.
To Find: Is this situation linear or exponential?
Solution:
A linear function : the rate of change is constant.
In an exponential function the rate of change is not constant. there is common growth or decay factor
Since we are given that A population of bacteria triples every hour.
So, there is a growth rate factor i.e. 3
General exponential function:![y=ab^x](/tpl/images/0322/7730/5b887.png)
where a is the initial amount
b is the growth rate factor
So, The Function for given situation :![y=a(3)^x](/tpl/images/0322/7730/12637.png)
Thus this situation is exponential because the function grows by a common factor.
Hence Option C is correct.
Ответ:
Step-by-step explanation:
1st tile⇒ coefficient
2nd tile⇒ term
3rd tile⇒ term
4th tile⇒ coefficient
5th tile⇒ neither one
6th tile⇒coefficient