Answer:
-4
Step-by-step explanation:
The average rate of change from x=a to x=b of f(x) is 
The given function is 
.
.
.
The average rate of change from x=3 to x=4 is given by:
Answer:
(a) 0.4
(b) a = 3
Step-by-step explanation:
(a) The area under the curve from x=4 to x=6 is 0.2 units high and 2 units wide, so is 0.2·2 = 0.4. (The area of a rectangle is the product of length and width.)
(b) The area is 0.2 and the height of the curve is 0.2, so the width of the region of concern is 0.2/0.2 = 1. (Again, area = height·width, or width = area/height.) 1 unit from the left end is found at X=3, so a = 3.
To solve this problem, all you have to do is set the exponents equal to each other because the bases are the same.
2n=10
<em>*Divide both sides by 2*</em>
n=5
The answer is 5.
Hope this helps!
In the equation, 20 is the original number of fish so we do not change that value to compensate for growth every half year. We will have to change the rate of growth, i.e, 3 and bring 1/2 into its power,
f(x) = 20(3)^(x/2) is correct
