Question 1177104
**PART A**

* **The function:** n(x) = 50(1.12)^x 
    * The initial number of plants is 50.
    * The rate of increase is 12%, which means each volunteer adds 12% to the previous total.  This is represented by multiplying by 1.12 (100% + 12% = 112% = 1.12).

* **Domain:** Whole numbers from 0 to 5
    * The domain represents the number of volunteers, and you can't have a fraction of a volunteer.

* **y-intercept:** 50
    * The y-intercept is the starting value when x (number of volunteers) is 0. This represents the initial number of plants Seth found himself.

**PART B**

To find the average rate of change from 0 to 5 volunteers, we'll use the function we found in Part A:

1. **Calculate n(0) and n(5):**
   * n(0) = 50(1.12)^0 = 50
   * n(5) = 50(1.12)^5 ≈ 88.12

2. **Find the difference in the number of plants:**
   * n(5) - n(0) ≈ 88.12 - 50 = 38.12

3. **Divide by the change in the number of volunteers:**
   * Average rate of change = 38.12 / (5 - 0) = 7.624

4. **Round to the nearest whole number:**
   * Average rate of change ≈ 8

**Therefore, the average rate of change from 0 to 5 volunteers is approximately 8 plants per volunteer.**