Chapter 8.2, Problem 34E

To determine

To find:

The area of state Iowa in square kilometers. Round your answer to the nearest thousand square kilometers.

Answer to Problem 34E

The area of state Iowa would be approximately 146,000 square kilometers.

Explanation of Solution

Given:

The formula $y\approx 2.59x$ converts an areax in square miles to an approximate area y in square kilometers. The state of Iowa has an area of 56,276 square miles.

Calculation:

To find the area of state Iowa in square kilometers, we will substitute $x=56,276$ in our given equation and solve for y as:

  $\begin{array}{l}y\approx 2.59x(\text{Given equation)}\\ y\approx 2.59\text{(}56,276\text{)}\left(\text{Substituting }x=56,276\right)\\ y\approx 145,754.84\\ y\approx 146,000\left(\text{Upon rounding to nearest thousand}\right)\end{array}$ .

Therefore, the area of state Iowa would be approximately 146,000 square kilometers.