If the number of cars sold of model D is 72900, then what is the total number of cars sold of all the models together by the company?

Options

A. 291600
B. 208100
C. 162000
D. 214160

Answer

To find the total number of cars sold of all models together by the company, we can follow these steps:

### Step 1: Understand the Pie Chart Distribution
The pie chart represents the distribution of cars sold for different models (A, B, C, D, and E) in degrees. Each model corresponds to a certain number of degrees, which reflects the proportion of total sales.

### Step 2: Identify the Degrees for Model D
From the video transcript, we know that Model D corresponds to 90 degrees in the pie chart.

### Step 3: Relate Degrees to Actual Sales
We are given that the number of cars sold for Model D is 72,900. This means that 90 degrees corresponds to 72,900 cars.

### Step 4: Calculate the Value of One Degree
To find the total number of cars sold, we first need to determine how many cars correspond to one degree. We can do this by dividing the number of cars sold for Model D by the degrees it represents:

\[ \text{Value of one degree} = \frac{\text{Cars sold for Model D}}{\text{Degrees for Model D}} = \frac{72,900}{90} \]

Calculating this gives:

\[ \text{Value of one degree} = 810 \text{ cars} \]

### Step 5: Calculate Total Degrees in the Pie Chart
The total degrees in a pie chart is always 360 degrees.

### Step 6: Calculate Total Number of Cars Sold
Now, we can find the total number of cars sold by multiplying the value of one degree by the total degrees in the pie chart:

\[ \text{Total Cars Sold} = \text{Value of one degree} \times \text{Total degrees} = 810 \times 360 \]

Calculating this gives:

\[ \text{Total Cars Sold} = 291,600 \text{ cars} \]

### Final Answer
The total number of cars sold of all models together by the company is **291,600 cars**.

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