<span> the population grows at rate of 1.75
multiply it by this rate every year
As in year 3 it would be 5340(1.75)(1.75)(1.75)
the function is 5340(1.75)^x
</span>f(x) = 5340(1.75)^x where 1.75 is the rate of growth
so D is right answer
Answer:
The amount of interest payable after 6 months is $28.
Step-by-step explanation:
Here, the Principal amount borrowed = $400
Rate of Interest = 14%
Time = 6 months = 6 / 12 years = 0.5 year
Now, SIMPLE INTEREST = 
So, here SI = 
or, SI = $28
Hence, the amount of interest payable after 6 months is $28.
Question:
A population of insects, in thousands, can be modeled using the function
, where t is time in months. Which statement best
describes the population of insects?
A. The population is decaying at a rate of 3% each month.
B. The population is decaying at a rate of 25% each month.
C. The population is growing at a rate of 75% each month.
D. The population is growing at a rate of 97% each month.
Answer:
A. The population is decaying at a rate of 3% each month.
Step-by-step explanation:
Given

Required
True statement about the function
From the options, we can see that we are to answer the question on the basis of decay and growing rates.
An exponential form is:

Compare to 

If
, then
r represents growth rate
else,
r represents decay rate
Since b < 0.97:





The answer is B. The values of y must only be positive because it is equal to

The other options states that the values of y could be negative which is why it is wrong.
By using the given graph:
- When x = -2, the value of the function is f(-2) = 1
- When x = -0.5, the value of the function is f(-0.5) = 0.75
- When x = 0, the value of the function is f(0) = 1.25
- When x = 2.5, the value of the function is f(2.5) = 3
- When x = 6, the value of the function is f(6) = 0
<h3>
</h3><h3>
How to use the graph to find the values of the function?</h3>
Suppose that we want to find the value of the graphed function when x = a.
- Then we first need to identify x = a in the horizontal axis.
- Then we move upwards (or downwards) until we meet the curve of the function.
- Now you can move horizontally towards the vertical axis, where you can read the y-value associated to the x-value.
Now we can do these steps for each of the wanted values.
- When x = -2, the value of the function is f(-2) = 1
- When x = -0.5, the value of the function is f(-0.5) = 0.75
- When x = 0, the value of the function is f(0) = 1.25
- When x = 2.5, the value of the function is f(2.5) = 3
- When x = 6, the value of the function is f(6) = 0
If you want to learn more about how to read graphs:
brainly.com/question/4025726
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