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Mat 205

Week 4 – Assignment 1

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#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= image1.wmf

×​(​)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=image3.wmf

×​(image4.wmf

​)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

image5.wmf

​%.

​(Round to the nearest tenth as​ needed.)

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