Chapter 9, Problem 13STP

To determine

To calculate:To find the acres of land a fire will cover in $2$ days if the wild fire is doubling every $6$ hours and initial size of the fire is $1$ acre.

Answer to Problem 13STP

The fire will cover $16$ acres of land.

Explanation of Solution

Given information:

Acres of land a fire will cover in $2$ days if the wild fire is doubling every $6$ hours and initial size of the fire is $1$ acre.

Calculation:

Given initial size of the fire is $1$ acre.

  $2$ days $=48$ hours

  $2$ days $=6\times 8$ hours

Since, the fire is doubling every $6$ hours, thus the land covered by the wild fire will be:

  $1\times 2\times 8$ acres

Solving the above equation, we have:

  $1\times 2\times 8=16$

Conclusion:

The fire will cover $16$ acres of land.