Answer:
Problem 1: 342
Problem 2:20.2
Step-by-step explanation:
Remark
Problem 1
A 5% reduction means that if you start with a hundred % and take 5% away from it, you get 100/100 - 5/100 = 95 /100.
If you reduce the 95/100 you get 0.95 in decimal form.
So the equation for voting a production of 7 years from now is projected to be
V = 490 * 0.95^7
0.95^7 = 0.69833
V = 490 * 69833
V = 342.2 to one decimal place. which represents the number of people that will vote 7 years from now.
Problem 2
The way this should be done is change / interval
f(0) = 1/2 * (3)^0
f(0) = 1/2 * 1
f(0) = 1/2
f(5) = 1/2 * 3^5
f(5) = 1/2 * 243
f(5) = 121.5
Average = (121.5 - 1/2) / (6 - 0)
Average = 20.167 I don't know how you are supposed to round this. I would say that the answer is 20.2