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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 f (n) is the number of
people invited to the fund-raiser n years after
Eleanor began organizing the event, which of the
following statements best describes the function f ?
A) The function f is a decreasing linear function.
B) The function f is an increasing linear function.
C) The function f is a decreasing exponential
function.
D) The function f is an increasing exponential
function.

Respuesta :

Option D: The function f is an increasing exponential

function.

Given,

 The number of people Eleanor invited the first year = 30

The number of people invited doubles each of the following years, which is the same as increasing by a constant factor of 2.

Therefore, the function f can be defined by f(n)=30(2)n,

Where,

n is the number of years after Eleanor began organizing the event. This is an increasing exponential function.

Choices A and B are incorrect. Linear functions increase or decrease by a constant number over equal intervals, and exponential functions increase or decrease by a constant factor over equal intervals.

Since the number of people invited increases by a constant factor each year, the function f is exponential rather than linear. Choice C is incorrect.

The value of f (n ) increases as n increases, so the function f is increasing rather than decreasing. Then, Choice D is correct.

Learn more about exponential functions here: https://brainly.com/question/15352175

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