Question

Solve the following problems in algebraic terms. Simplify your answers.

a) Six scouts arrange their campsite so that each tent is equidistant from the next tent and from the fire. How much bigger would the area of the campsite be if they reposition the tents so that they are twice as far from the fire? Use the graphic below as needed.

Answer 1

A is the correct answer six scouts Ava the

Answer 2

Let’s assume that the distance between each tent and the fire is x. If they reposition the tents so that they are twice as far from the fire, then the distance between each tent and the fire will be 2x. The area of the campsite is proportional to the square of the distance between each tent and the fire. Therefore, if they reposition the tents so that they are twice as far from the fire, then the area of the campsite will be 4 times bigger than before.