Wanda wants to choose her ''best-fit'' college in a systematic way. Academic reputation (AR), sports reputation (SR), social life (SL), and cost (C) are the four factors that Wanda considers for all her colleges. She plans to score the colleges on these factors using a scale of 1 to 5, with 5 being the highest, and she attaches the following weights: AR `(40%)`. SR `(10%)` , SL `(15%), and C(35%)`. Her scores for these categores at one school are AR, 4, SR, 3, SL, 5, C,2. What is the weighted overall average score for this school?

Options

A. 3.35
B. 3.5
C. 3.85
D. 4.25

Explanation

To find the weighted overall average score for Wanda's chosen school based on the factors she considers, we will follow these steps:

### Step 1: List the Scores and Weights
Wanda's scores for the school are as follows:
- Academic Reputation (AR): 4
- Sports Reputation (SR): 3
- Social Life (SL): 5
- Cost (C): 2

The corresponding weights for each factor are:
- AR: 40% (or 0.4)
- SR: 10% (or 0.1)
- SL: 15% (or 0.15)
- C: 35% (or 0.35)

### Step 2: Convert Weights to Decimal
The weights are already provided in decimal form, so we can directly use them in our calculations.

### Step 3: Calculate the Weighted Scores
Now, we will calculate the weighted score for each factor by multiplying the score by its corresponding weight:
- Weighted score for AR = 4 * 0.4 = 1.6
- Weighted score for SR = 3 * 0.1 = 0.3
- Weighted score for SL = 5 * 0.15 = 0.75
- Weighted score for C = 2 * 0.35 = 0.7

### Step 4: Sum the Weighted Scores
Next, we will add all the weighted scores together to get the overall average score:
- Overall average score = Weighted score for AR + Weighted score for SR + Weighted score for SL + Weighted score for C
- Overall average score = 1.6 + 0.3 + 0.75 + 0.7

### Step 5: Calculate the Total
Now, we will calculate the total:
- Overall average score = 1.6 + 0.3 + 0.75 + 0.7 = 3.35

### Final Answer
The weighted overall average score for this school is **3.35**.

---