Answer:
The graph in the attached figure
Step-by-step explanation:
we have
This is a exponential function of the form
where
a is the initial value
b is the base
r is the rate
b=1+r
In this problem we have
a=4 ----> initial value (y-intercept)
b=1/2
so
1+r=1/2
r=1/2-1=-1/2
r=-0.5=-50% ----> is negative because is a decrease rate
using a graphing tool
The graph in the attached figure
I'll start by expanding everything, and 10^(x) means we move the decimal x places to the right. If we move the decimal to the right but there's no number there, that number is 0.
The populations are as follows (in the order in the graph) -
127,180,000
200,000,000
80,619,000
63,708,000
173,615,000
152,510,000
The first difference is the number of digits. The more, the better. The two that stand out at the bottom are Germany and the UK. Next, we look at the leftmost number. Since 6<8, Germany's population > UK's population. All other countries are greater than Germany. Next, we look at the next smallest amount of digits, which is every other country. We look at the first number, which gives us Japan, Nigeria and Bangladesh. Next, we look at the second number, and since 2<5<7, Japan is smaller than Bangladesh and Nigeria is bigger than Bangladesh. Our current list is as follows:
United Kingdom (UK), Germany, Japan, Bangladesh, Nigeria. Since Brazil
has been proven to be greater than the rest (as it has more digits and 2>1), our list is now
United Kingdom (UK), Germany, Japan, Bangladesh, Nigeria, Brazil
3^-6 / 3^-4 = 3^[-6 -(-4)] = 3^-6 + 4 = 3^-2
so answer is D last option
Keep the base the same and then subtract the exponents
