The average production of type C cars during 2012 to 2016 is approximately what percent less than the total production of type D cars in 2012 and type E cars in 2014?

Options

A. 0.464
B. 0.492
C. 0.486
D. 0.428

Answer

To solve the problem step by step, we will follow these instructions:

### Step 1: Calculate the total production of type C cars from 2012 to 2016.
We need to find the average production of type C cars during the years 2012 to 2016. The production numbers for type C cars are as follows:
- 2012: 44
- 2013: 45
- 2014: 67
- 2015: 63
- 2016: 76

First, we calculate the total production:
Total Production = 44 + 45 + 67 + 63 + 76 = 295

### Step 2: Calculate the average production of type C cars.
To find the average, we divide the total production by the number of years (5):
Average Production of Type C = Total Production / Number of Years = 295 / 5 = 59

### Step 3: Find the production of type D cars in 2012.
From the data, the production of type D cars in 2012 is given as:
Production of Type D in 2012 = 46

### Step 4: Find the production of type E cars in 2014.
From the data, the production of type E cars in 2014 is given as:
Production of Type E in 2014 = 64

### Step 5: Calculate the total production of type D cars in 2012 and type E cars in 2014.
Total Production = Production of Type D in 2012 + Production of Type E in 2014
Total Production = 46 + 64 = 110

### Step 6: Calculate the percentage less of the average production of type C cars compared to the total production of type D and E cars.
We need to find what percent less the average production of type C cars (59) is compared to the total production (110):
Percentage Less = [(Total Production - Average Production) / Total Production] × 100
Percentage Less = [(110 - 59) / 110] × 100
Percentage Less = [51 / 110] × 100 ≈ 46.36%

### Step 7: Convert the percentage to decimal form.
To express this as a decimal, we divide by 100:
Decimal Form = 46.36 / 100 = 0.4636

### Step 8: Round the answer to three decimal places.
Rounding 0.4636 gives us approximately 0.464.

### Final Answer:
The average production of type C cars during 2012 to 2016 is approximately **0.464** percent less than the total production of type D cars in 2012 and type E cars in 2014.

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