Answer:
The initial population at the beginning of the 10 years was 129.
Step-by-step explanation:
The population of the village may be modeled by the following function.

In which P is the population after t hours,
is the initial population and r is the growth rate, in decimal.
In this problem, we have that:
.
So



The initial population at the beginning of the 10 years was 129.
The sum could be greater than 1 but not equal to 1.
Answer: Choice B

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Explanation:
The two rules we use are


When applying the first rule to the expression your teacher gave you, we can say that:

Then applying the second rule lets us say

Therefore,

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In short, we just multiplied each exponent inside by the outer exponent 1/2.
So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.
okay. the point has an x and y value. place them into the equation.
1=m(1)+b
m=slope, and theequation tells you that slope is 7.
1=7(1)+b
now you need to figure out what b is.
1=7(1)+b
^
1= 7 +b
-7 -7
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-6=B
b is 6. now place it into the equation, replacing the x and y values back.
y=7x-6.
write 7 and 6 in the boxes (the negative for the six has already been provided)