MAT 139 Final Project: Mathematical Modeling
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In this project you will review the various modeling types we have studied this semester. In each case, it will
be very important that you select the appropriate type of model in order to solve the problem correctly. First,
4 fill in the chart below to help review and organize your thinking.
E Modeling Type by - Basic Modehng Equatlon Graph(s) Verbal Cues (if any)
(afl?"an}' Trele ()Z
Linear
= et Ll
e
ratic
e b o
d“”
% '
A'/mo(» Potdsol «
: 57 g .nfi;dhfi 2
Cubic flx);&x ,b‘,“ld
tikoglee
Q Quartic \A( > M‘l ,b: rcxlyo(‘r 2 Lok Ve
Exponential
(Lid Mfi(;,,/
ks o=t ) <
L5/cha0éef ers ©
nkfrLe
7’ k : ’Zjfifa
Direct Variation
s Ddecky Pt opiae(
i) [folohonall
Inverse Variation | /: _I_(_
Ofkm/::':[/..
Nt
Radical
Scanned with
B CamScanner’|
, 1. Find an appropriate model for each situation described in the problems below and use that model to
answer the question. Read carefully! The model type is indicated by the phrasmg in the problem. You
must do all work by hand, showing your work for these problems. Give final answers as a decimal,
@ rounded to 2 decimal places as needed.
a. Anice cube tray containing water at a temperature of 65°F is placed in a freezer, where it cools
in such a way that the temperature drops by 1.8% per minute. How long will it take for the
water to reach a temperature of _3;3_? F? -
/
Find a model for the situation. Use the model to answer the duestion.
Sl b i 0lleD g1y Zo=ls(0157) f
o fabagt (57) o Cam
Exfoadsel. Oecat) 1otk e
ol
bn @fl%w%bwmz)
M:é{?
béer,Dl&kQWZ (M(,;)) —0bl... -}}o3
—aal?Z'w
-6 () &,@.fiz ,
© |-t (or9) 4 o
b. A 1liter (1000 cm3) water bottle has a slow leak, with 1.8 cm? of water leaking out each minute.
If the bottle is full, determine the amount of time it will take until 375 cm3 of water is left in the
bottle.
Find a model for the situation. Use the model to answer the question.
Conshanly Dectostin watd oy
UMA/— }'fl)’i“’-&lwfi
Ve (/4/""’ l
Gurloeo
| ’
3T = (25 =
V= 1.52 Hpoes V=07
y- 322
@
Scanned with
&8 CamScanner’;
N
In this project you will review the various modeling types we have studied this semester. In each case, it will
be very important that you select the appropriate type of model in order to solve the problem correctly. First,
4 fill in the chart below to help review and organize your thinking.
E Modeling Type by - Basic Modehng Equatlon Graph(s) Verbal Cues (if any)
(afl?"an}' Trele ()Z
Linear
= et Ll
e
ratic
e b o
d“”
% '
A'/mo(» Potdsol «
: 57 g .nfi;dhfi 2
Cubic flx);&x ,b‘,“ld
tikoglee
Q Quartic \A( > M‘l ,b: rcxlyo(‘r 2 Lok Ve
Exponential
(Lid Mfi(;,,/
ks o=t ) <
L5/cha0éef ers ©
nkfrLe
7’ k : ’Zjfifa
Direct Variation
s Ddecky Pt opiae(
i) [folohonall
Inverse Variation | /: _I_(_
Ofkm/::':[/..
Nt
Radical
Scanned with
B CamScanner’|
, 1. Find an appropriate model for each situation described in the problems below and use that model to
answer the question. Read carefully! The model type is indicated by the phrasmg in the problem. You
must do all work by hand, showing your work for these problems. Give final answers as a decimal,
@ rounded to 2 decimal places as needed.
a. Anice cube tray containing water at a temperature of 65°F is placed in a freezer, where it cools
in such a way that the temperature drops by 1.8% per minute. How long will it take for the
water to reach a temperature of _3;3_? F? -
/
Find a model for the situation. Use the model to answer the duestion.
Sl b i 0lleD g1y Zo=ls(0157) f
o fabagt (57) o Cam
Exfoadsel. Oecat) 1otk e
ol
bn @fl%w%bwmz)
M:é{?
béer,Dl&kQWZ (M(,;)) —0bl... -}}o3
—aal?Z'w
-6 () &,@.fiz ,
© |-t (or9) 4 o
b. A 1liter (1000 cm3) water bottle has a slow leak, with 1.8 cm? of water leaking out each minute.
If the bottle is full, determine the amount of time it will take until 375 cm3 of water is left in the
bottle.
Find a model for the situation. Use the model to answer the question.
Conshanly Dectostin watd oy
UMA/— }'fl)’i“’-&lwfi
Ve (/4/""’ l
Gurloeo
| ’
3T = (25 =
V= 1.52 Hpoes V=07
y- 322
@
Scanned with
&8 CamScanner’;
