As part of a "green" initiative pilot program, California wants to apportion 200 new electric vehicles to three university system campuses, based on the FTE at each campus. Find the standard divisor, SD, for the chosen pilot schools, shown in the table below. Round your answer to the nearest thousandth, if necessary.

Student Enrollment in the University of California System
Campus	Enrollment	Full Time Equivalent (FTE)
Riverside	20,956	            4689
San Francisco	18,140	4174
Santa Barbara	21,016	6081


To solve this problem, we need to find the **standard divisor** (SD) to apportion 200 new electric vehicles (EVs) based on the Full Time Equivalent (FTE) at each university campus. 

The standard divisor is calculated by dividing the total number of electric vehicles (200) by the total FTE across all three campuses.

### Step 1: Find the total FTE
The total FTE is the sum of the FTEs for the three campuses:

\[
\text{Total FTE} = 4689 (\text{Riverside}) + 4174 (\text{San Francisco}) + 6081 (\text{Santa Barbara})
\]

\[
\text{Total FTE} = 4689 + 4174 + 6081 = 14,944
\]

### Step 2: Calculate the Standard Divisor
The standard divisor (SD) is the ratio of the total number of vehicles to the total FTE:

\[
SD = \frac{200}{14,944}
\]

Let's calculate that value.

\[
SD \approx 0.013
\]

So, the standard divisor is approximately **0.013** (rounded to the nearest thousandth).

Would you like to explore the next steps in the apportionment process, or have any other questions?

### 5 Relative Questions:
1. How do we use the standard divisor to allocate vehicles per campus?
2. What are other common methods of apportionment (e.g., Hamilton, Jefferson, etc.)?
3. How can rounding affect the final distribution of vehicles?
4. What is the purpose of using FTE rather than total enrollment in such problems?
5. How would changes in FTE impact the distribution of electric vehicles?

### Tip:
When solving apportionment problems, always ensure the total allocated values match the initial amount being distributed.

As part of a 'green' initiative pilot program, California wants to apportion 200 new electric vehicles to three university system campuses, based on the FTE at each campus. Find the standard divisor, SD, for the chosen pilot schools, shown in the table below. Round your answer to the nearest thousandth, if necessary.

Learn how to calculate the standard divisor for apportioning 200 new electric vehicles across three University of California campuses, based on their Full-Time Equivalent (FTE) enrollment. This problem explores the apportionment method using a detailed step-by-step solution. Suitable for high school students (Grades 9-12).

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation