1. The growth rate equation has a general form of:
y = A (r)^t
The function is growth when r≥1, and it is a decay when
r<1. Therefore:
y=200(0.5)^2t                    -->
Decay
y=1/2(2.5)^t/6                  -->
Growth
y=(0.65)^t/4                       -->
Decay
 
2. We rewrite the given equation (1/3)^d−5 = 81
 
Take the log of both sides:
(d – 5) log(1/3) = log 81
d – 5 = log 81 / log(1/3)
d – 5 = - 4
 
Multiply both sides by negative 1:
- d + 5 = 4
So the answer is D
 
        
             
        
        
        
Answer: f=26
Step-by-step explanation: x^2+6x^2+12x+7/x= 26
 
        
             
        
        
        
Answer:
f(h) = 0.004s + 37
Step-by-step explanation:
The correct representation of the height of the plant is; 
           f(h) = 0.004s + 37
Given parameters; 
   Height of plant  = 37cm 
   Rate of growth  = 0.004cm/hr
   Number of hours of sunlight  = s
To solve this problem, the height of the plant is directly dependent on the amount of sunlight; 
      f(h) signifies that height is a function
The height of the plant is 37cm; 
          f(h) = 37
The plant grows at a rate of 0.004cm/hr;  number of hours of sunlight is s;
        0.004s
Therefore; 
   f(h) = 37 + 0.004s
         
 
        
                    
             
        
        
        
Answer:
d
Step-by-step explanation:
 
        
             
        
        
        
All you have to do is substitute x for 3.
You get:
14.50 times 3
14.50 times 3 is 43.50
The answer is $14.50