Chapter 9.3, Problem 49CCR

a.

To determine

To calculate: the land covered by forests for each state.

Answer to Problem 49CCR

The land covered by forest per state:

Explanation of Solution

Given:

The table shows the percent of forest land in different states:

Formula used:

The Percent equation:

ais p percent of b can be written as:

  $a=p\%\cdot b$

Calculation :

As per problem,

Consider the table of data given.

• For the state Illinois,
Percent of land covered by forest is $11.0\%$ , so $p=11.0$

Area of the state is $55,584$ square miles, so $b=55,584$ .

To calculate the land covered by forest use percent equation:

  $\begin{array}{l}a=p\%\cdot b\text{ [Write percent equation]}\\ a=11\%\cdot 55584\text{ [Substitute 11 for }p\text{ and 55584 for }b]\\ a=0.11\cdot 55584\text{ [Write percent as a decimal]}\\ a=6114.24\text{ [Simplify]}\end{array}$

Therefore, land covered by forests in Illinois is about $6,114$ square miles.

• For the state Kentucky,
Percent of land covered by forest is $49.1\%$ , so $p=49.1$

Area of the state is $39,728$ square miles, so $b=39,728$ .

To calculate the land covered by forest use percent equation:

  $\begin{array}{l}a=p\%\cdot b\text{ [Write percent equation]}\\ a=49.1\%\cdot 39728\text{ [Substitute 49}\text{.1 for }p\text{ and }39728\text{ for }b]\\ a=0.491\cdot 39728\text{ [Write percent as a decimal]}\\ a=19506.45\text{ [Simplify]}\end{array}$

Therefore, land covered by forests in Kentucky is about $19,506$ square miles.

• For the state Michigan,
Percent of land covered by forest is $44.7\%$ , so $p=44.7$

Area of the state is $56,804$ square miles, so $b=56,804$ .

To calculate the land covered by forest use percent equation:

  $\begin{array}{l}a=p\%\cdot b\text{ [Write percent equation]}\\ a=44.7\%\cdot 56804\text{ [Substitute 44}\text{.7 for }p\text{ and }56804\text{ for }b]\\ a=0.447\cdot 56804\text{ [Write percent as a decimal]}\\ a=25391.4\text{ [Simplify]}\end{array}$

Therefore, land covered by forests in Michigan is about $25,391$ square miles.

• For the state New York,
Percent of land covered by forest is $56.1\%$ , so $p=56.1$

Area of the state is $47,214$ square miles, so $b=47,214$ .

To calculate the land covered by forest use percent equation:

  $\begin{array}{l}a=p\%\cdot b\text{ [Write percent equation]}\\ a=56.1\%\cdot 47214\text{ [Substitute 56}\text{.1 for }p\text{ and }47214\text{ for }b]\\ a=0.561\cdot 47214\text{ [Write percent as a decimal]}\\ a=26487.05\text{ [Simplify]}\end{array}$

Therefore, land covered by forests in New York is about $26,487$ square miles.

• For the state Ohio,
Percent of land covered by forest is $27.3\%$ , so $p=27.3$

Area of the state is $40,948$ square miles, so $b=40,948$ .

To calculate the land covered by forest use percent equation:

  $\begin{array}{l}a=p\%\cdot b\text{ [Write percent equation]}\\ a=27.3\%\cdot 40948\text{ [Substitute 27}\text{.3 for }p\text{ and }40948\text{ for }b]\\ a=0.273\cdot 40948\text{ [Write percent as a decimal]}\\ a=11178.8\text{ [Simplify]}\end{array}$

Therefore, land covered by forests in Ohio is about $11,179$ square miles.

b.

To determine

To identify:the state having greatest amount of forest land.

Answer to Problem 49CCR

New York has the greatest amount of land forest.

Explanation of Solution

Given:

The land covered by forest per state (as calculated in part (a)) :

Consider the given table:

Of the five states, New York has the greatest amount of forest land, that is, $26,487$ square miles.