Chapter 0.2, Problem 16E

To determine

To calculate:have to find the acres were consumed during each hour.

Answer to Problem 16E

Fire spread 5 acres during the each hour.

Explanation of Solution

Given information: Fire takes 10 hours to spread 41 acres and after each one hour the fire increases by 4 acres.

Suppose in the first hour, the fire spreads to x acres.

Now, the table shows that, the fire-spreading pattern.

  $\begin{array}{cc}\text{Hour}& \text{Acres}\\ 1& x\\ 2& x+4\\ 3& x+8\\ 4& x+12\\ 5& x+16\\ 6& x+20\\ 7& x+24\\ 8& x+28\\ 9& x+32\\ 10& x+36=41\text{acres}\end{array}$

 Calculation: $x+36=41$

  $\Rightarrow x=41-36$

  $\Rightarrow x=5$