Answer:
..........................
Answer:
135
Step-by-step explanation:
Answer:
Step-by-step explanation:
Exponential growth function can be represented as follows
y =
Here y increases exponentially with respect to t . As t increases , rate at which y increases is increases .or
dy / dt =by , or rate of increase depends upon y itself
dy / y = bdt
integrating on both sides
lny = bt
y = 
It represents very fast increase in y .
The unrestricted growth of population of human being is an example of exponential growth . As population increases , rate of growth of population also increases.
For exponential decay function
y = 
The decay of a radioactive material is an example of exponential decay function.
Answer:
-16
Step-by-step explanation:
-32.3 - (-16.3).
we know:
-*- =+
-32.3 + 16.3
-16
The initial value: 25, rate of change: -5 ⇒ answer C
Step-by-step explanation:
The table:
→ x : 1 : 3 : 5 : 7
→ y : 20 : 10 : 0 : -10
The linear relation between x and y is y = m x + b, where
- m is the rate of change
- b is the initial value
Let us use the table to find m and b
∵
, where 
and
are any two ordered pairs in the table
∵
= (1 , 20)
∵
= (3 , 10)
∴ 
∵ m is the rate of change
∴ The rate of change is -5
Substitute the value of m in the form of the linear relation
∴ y = -5 x + b
To find b substitute x and y in the equation by the coordinates of any points in the table, let us chose point (5 , 0)
∵ x = 5 and y = 0
∴ 0 = -5(5) + b
∴ 0 = -25 + b
- Add 25 to both sides
∴ 25 = b
∵ b represents the initial value
∴ The initial value is 25
The initial value: 25, rate of change: -5
Learn more:
You can learn more about the linear equation in brainly.com/question/4326955
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