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The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. The first week the dealership sold eight cars (P = 8). The second week the dealership sold thirty cars.

Complete the statement or question as needed to make sense of the context.

Answer :

Final answer:

The linear growth model is evident in the increasing sales of an automobile dealership. The mathematical model representing this growth would typically be P = P0 + rt, but the exact growth rate can't be determined due to lack of information.

Explanation:

The sale of cars at an automobile dealership showing a pattern of consistent growth each week is an example of a linear growth model. If we assume that the dealership had some constant growth rate, represented by the difference between the sales figures of two consecutive weeks, we can find the linear equation representing this growth. However, incomplete information means we don't have the number of cars sold in the second week. In a typical linear growth model, the formula would be P = P0 + rt, where P0 is the initial amount, r is the rate of growth, t is time, and P is the amount after time t. Unfortunately, without knowing the second week’s sales, we can't determine the exact growth rate at present.

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