The first year Eleanor  organized a fund-raising event, she invited 30 people. For each of the next 5 years, she invited double the number of people she had invited the previous year. If  is the number of people invited to the fund-raiser  years after Eleanor began organizing the event, which of the following statements best describes the function  ?

The correct answer is: The function f is an increasing exponential function.

Explanation:

• We have given the first year Eleanor organized a fund-raising event, she invited 30 people. For each of the next 5 years, she invited double the number of people she had invited the previous year.
• We have to find whether the function is decreasing or not.

Step 1 of 1:
Eleanor invited 30 students the first year of her fundraiser and doubled the number every  years. This means that, in 5 years time, she would invite 30(2). After which she invites
 the following 5 years. The number rise to 
in 15 years.
Thus, in n years time, she would invite 
From eqn (1), the power, n/5 shows that the function is exponential and since, n/5  is always positive and greater than 1, the number will keep increasing
Thus, the above function is an increasing exponential function
Hence, Option D is correct.