Math Problem Statement
The gross domestic product (GDP; in trillions of dollars) for Country A and Country B can be approximated as follows where
xequals=60
corresponds to the year 1960.
Country A: f left parenthesis x right parenthesis equals 0.00006 left parenthesis 1.102 right parenthesis Superscript xf(x)=0.00006(1.102)x
Country B: g left parenthesis x right parenthesis equals 0.01894 left parenthesis 1.078 right parenthesis Superscript xg(x)=0.01894(1.078)x
Find the projected GDP in
20182018
and
20342034
for Country A.
Question content area bottom
Part 1
Which of the following describes how to
find
the projected GDP in
20182018****
using the given
information?
Select the correct choice and fill in the answer box to complete your choice.
(Type an integer or a decimal.)
A.
To
find
the projected GDP in
20182018,
substitute
118118
for x and evaluate to find f(x).
Your answer is correct.
B.
To
find
the projected GDP in
20182018,
find the intersection point of the graphs
y equals 0.0006 left parenthesis 1.102 right parenthesis Superscript xy=0.0006(1.102)x
and
yequals=enter your response here.
The projected GDP in
20182018
is represented by the y-coordinate.
Part 2
In
20182018
the projected GDP is about
$5.75.7
trillion.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
Part 3
Which of the following describes how to
find
the projected GDP in
20342034****
using the given
information?
Select the correct choice and fill in the answer box to complete your choice.
(Type an integer or a decimal.)
A.
To
find
projected GDP in
20342034,
find the intersection point of the graphs
y equals 0.0006 left parenthesis 1.102 right parenthesis Superscript xy=0.0006(1.102)x
and
yequals=enter your response here.
The projected GDP in
20342034
is represented by the y-coordinate.
B.
To
find
projected GDP in
20342034,
substitute
enter your response here
for x and evaluate to find f(x).
Solution
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Math Problem Analysis
Mathematical Concepts
Exponential Growth
GDP Projection
Substitution in Functions
Formulas
f(x) = 0.00006(1.102)^x
g(x) = 0.01894(1.078)^x
Theorems
Exponential Growth Model
Suitable Grade Level
Grades 10-12
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