Answer:
P(t) = 3000 * 4^(t/10)
Step-by-step explanation:
There is more than one way to get an exponential function out of the information given. The way the question is worded, however, seems to suggest the following type of answer:
One general form of the exponential function is y = a·bx, where a is the initial value, and b is the growth or decay factor. So right away we can say that a = 2300.
Now for the growth factor. When something is increasing or decreasing by a certain percentage, we are adding or subtracting that percentage to the 100% (which is equal to 1) that exists currently. So here we're increasing by 11%, or 0.11. Then the growth factor b is (1 + 0.11), or 1.11.
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:
m: It is the slope
b: It is the cut point with the y axis
We have the following equation:

Thus, the cut point with the y axis is -8. Therefore, we discard options C and B.
It is observed that the slope is positive so the correct graph is option B.
Answer:
Option B
Option a is correct. The calculated answer is 0.150
<h3>How to get the value using the cdf</h3>
In order to get P(0.5 ≤ X ≤ 1.5).
This can be rewritten as
p = 0.5
and P = 1.5
We have the equation as

This would be written as
1.5²/16 - 0.5²/16
= 0.1406 - 0.015625
= 0.124975
This is approximately 0.1250
Read more on cdf here:
brainly.com/question/19884447
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<h3>complete question</h3>
Use the cdf to determine P(0.5 ≤ X ≤ 1.5).
a) 0.1250
b) 0.0339
c) 0.1406
d) 0.0677
e) 0.8750
f) None of the above
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