MAT 205 Week 4 - Homework 1
Mat 205
Week 4 – Assignment 1
#10
Consider the following case of exponential growth. Complete parts a through c below.
The population of a town with an initial population of 51,000 grows at a rate of 5.5% per year.
a. Create an exponential function of the form Q=Q0×(1+r)t, (where r>0 for growth and r<0
for decay) to model the situation described.
Q=
×()t
(Type integers or decimals.)
#11
Consider the following case of exponential decay. Complete parts (a) through (c) below.
A privately owned forest that had 5,000,000 acres of old growth is being clear cut at a rate of
6% per year.
a. Create an exponential function of the form
Q=Q0×(1+r)t, (where r>0 for growth and
r<0
for decay) to model the situation described.
Q=
×(
)t
(Type integers or decimals.)
#12
If prices increase at a monthly rate of 1.4%, by what percentage do they increase in a year? Over the span of a year, prices will increase by
%.
(Round to the nearest tenth as needed.)