Chapter 6.1, Problem 64E

(a)

To determine

Whether the board of trustees expects the gift income to increase or decrease over the period of 5 years by using graphing utility when they are planning a five-year capital gift campaign to raise fund for the college and the aim is to have an annual gift income I which is modelled by the function,

$I=2000\left(375+68t{e}^{-0.2t}\right)\text{, 0}\le t\le 5$

Where t is the time in years.

(b)

To determine

To calculate: The expected total gift income over the period of five-years when the board of trustees are planning a five-year capital gift campaign to raise fund for the college and the aim is to have an annual gift income I which is modelled by the function,

$I=2000\left(375+68t{e}^{-0.2t}\right)\text{, 0}\le t\le 5$

Where t is the time in years.

(c)

To determine

To calculate: The average annual gift income over the period of five years the board of trustees are planning a five-year capital gift campaign to raise fund for the college and the aim is to have an annual gift income I which is modelled by the function,

$I=2000\left(375+68t{e}^{-0.2t}\right)\text{, 0}\le t\le 5$

Where t is the time in years.