The number of voters in a certain district of a city is expected to grow at the rate of
People per year t years from now. If the number of voters at present is 30,000, how many voters will be in the district 5 years from now?

A) 29,700 people
B) 27,953 people
C) 36,781 people
D) 31,448 people
E) 34,942 people

Question

The number of voters in a certain district of a city is expected to grow at the rate of ​  ​
People per year t years from now. If the number of voters at present is 30,000, how many voters will be in the district 5 years from now?
​
A) 29,700 people 
B) 27,953 people 
C) 36,781 people 
D) 31,448 people 
E) 34,942 people

Quizplus · Accepted Answer

Using the formula for exponential growth:
N(t) = N(0) * e^(rt)
where N(t) is the number of voters at time t, N(0) is the initial number of voters (30,000 in this case), r is the rate of growth (0.11), and t is the number of years from now.

Plugging in the values, we get:
N(5) = 30,000 * e^(0.11 * 5)
N(5) ≈ 34,942

Therefore, the answer is E) 34,942 people.

The Number of Voters in a Certain District of a City