Answer:
y = 
Step-by-step explanation:
Let the equation of the exponential function is,
y = a(b)ˣ
Since the graph of this function passes through two points
and (3, -1)
For the point
,
---------(1)
For second point (3, -1),
-1 = a(b)³ ---------(2)
Divide equation (2) by equation (1),
=


From equation (2)
-1 = 
-1 =
a = 8
Therefore, equation of the exponential function will be,
y = 
Answer:
2/3
Step-by-step explanation:
20% = 12
48
1/6 = 8
left = 40
40/60 = 4/6
4/6 = 2/3
Answer:
1.
2.543.6
Step-by-step explanation:
We are given that
y(0)=200
Let y be the number of bacteria at any time
=Number of bacteria per unit time


Where k=Proportionality constant
2.
,y'(0)=100
Integrating on both sides then, we get

We have y(0)=200
Substitute the values then , we get


Substitute the value of C then we get





Differentiate w.r.t

Substitute the given condition then, we get



Substitute t=2
Then, we get 

e=2.718
Hence, the number of bacteria after 2 hours=543.6
Commission = 20% x 85 = $17
Salary = $82 + $17 = $99 <=== this much she made.