End on the activity, write a orier evaluation of your work. Activity
Sarah is building a 10-foot-long pen for her pet rabbits. She wants to make gravel bases for two circular food containers
to go inside the pen along its width, as shown in the diagram. Let y represent the width of the pen and x represent the
radii of the gravel bases and food containers.
10 feet
Fyso
She knows that the gravel bases need to fit entirely inside the pen, so the sum of the diameters of the gravel bases
cannot exceed the width, y.
Sarah has at most $150 to spend on materials. The cost will be $4.00 per linear foot of fencing and $2.00 per square foot
of the gravel bases (the cost of the gravel at 1 inch of depth).
(Recall: The area of a circle is A = #r2, where r is the radius.)
Part A
Write the system of inequalities that can be used to determine the length and width of the pen and the radii of the gravel
bases for the food containers. Use the diagram of the pen and containers above to help. Base your inequality statements
on the dimensions and their limits and the cost limits for the project.