Two employees of Frontier Fence Company can install $100$ feet of fence in two days.  

1. What is the unit rate for one employee?

   Hint (a):

   Create an expression by setting up a fraction with the given information.

   Step 1 (a):

   $\text{rate}=\frac{\text{fencing per day}}{\text{number of people}}=\frac{\frac{100}{2}}{2}$

   Answer (a):

   $25$ feet of fence per day per employee

2. Write a proportion to show the relationship between this rate and $150$ feet of fence.

   Hint (b):

   Use the ratio from part (a) to help set up the proportion.

3. At this same rate, how many employees are needed to install $150$ feet of fence in one day?

   Hint (c):

   Solve for the unknown in the proportion from part (b).

   Answer (c):

   $6$ employees