<h3>Answer: Approximately 191 bees</h3>
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Work Shown:
One way to express exponential form is to use
y = a*b^x
where 'a' is the initial value and 'b' is linked to the growth rate.
Since we're told 34 bees are there initially, we know a = 34.
Then after 4 days, we have 48 bees. So we can say,
y = a*b^x
y = 34*b^x
48 = 34*b^4
48/34 = b^4
24/17 = b^4
b^4 = 24/17
b = (24/17)^(1/4)
b = 1.090035
Which is approximate.
The function updates to
y = a*b^x
y = 34*(1.090035)^x
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As a way to check to see if we have the right function, plug in x = 0 and we find:
y = 34*(1.090035)^x
y = 34*(1.090035)^0
y = 34*(1)
y = 34
So there are 34 bees on day 0, ie the starting day.
Plug in x = 4
y = 34*(1.090035)^x
y = 34*(1.090035)^4
y = 34*1.4117629
y = 47.9999386
Due to rounding error we don't land on 48 exactly, but we can round to this value.
We see that after 4 days, there are 48 bees.
So we confirmed the correct exponential function.
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At this point we can find out how many bees there are expected to be after 20 days.
Plug in x = 20 to get
y = 34*(1.090035)^x
y = 34*(1.090035)^20
y = 190.672374978452
Round to the nearest whole number to get 191.
There are expected to be roughly 191 bees on day 20.
Answer:
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Step-by-step explanation:
Given
---x = 0, in 2012
-- x = 5, in 2017
Required
Select all possible equations
Because there is a reduction in the population, as time increases; the rate must be less than 1.
An exponential function is represented as:
Where
rate > 1 in options (a) and (b) i.e. 1.03
This implies that (a) and (b) cannot be true
For option (c), we have:
Set x = 0
Set x = 5
<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>
For option (d), we have:
Set x = 0
<em>This is false because the calculated value of f(0) does not correspond to the given value</em>
For option (e), we have:
Set x = 0
undefined
<em>This is false because the f(x) is not undefined at x = 0</em>
For option (f), we have:
Set x = 0
<em>This is false because the calculated value of f(0) does not correspond to the given value</em>
<em>From the computations above, only (c) </em><em> is true</em>
Answer:
6.065; 7.358 ; 6.694
Step-by-step explanation:
Given that, profit is quoted using the function :
R = 2pe ^ -0.1p
(a)
When price 'p' = $5
R = 2(5)e^(-0.1*5)
R = 10e^(-0.5)
R = 10 * 0.6065306
R = 6.065
B)
When price 'p' = $10
R = 2(10)e^(-0.1*10)
R = 20e^(-1)
R = 20 * 0.3678794
R = 7.358
C.)
When price 'p' = $15
R = 2(15)e^(-0.1*15)
R = 30e^(-1.5)
R = 30 * 0.2231301
R = 6.694
Answer:
Step-by-step explanation:
Using the Foil method
you multiply x times x and get 
Then you multiply -4 times X and get -4x
Then you multiply -3 times X and get -3x
then you add -4 and -3 together and get -7x
Lastly you multiply -4 and -3 and get 12
And there you have it
Answer:
Step-by-step explanation:
For each equation choose a value for x and then solve to find the corresponding y value that makes that equation true.
