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