High School

We appreciate your visit to The number of cars sold weekly by a new automobile dealership grows according to a linear growth model If this week the dealership sold two. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. If this week the dealership sold two cars (\(P_0 = 2\)) and next week the dealership sold five cars (\(P_1 = 5\)), then:

Options:
A) The growth factor is 2.5.
B) The growth rate is 3 cars per week.
C) The linear equation representing car sales is \(P(n) = 2n\).
D) The linear equation representing car sales is \(P(n) = 3n + 2\).
E) The growth factor is 1.5.

Answer :

Final answer:

The car sales at the dealership are increasing at a rate of 3 cars per week, leading to a linear growth model. The linear equation that represents this growth is P(n) = 3n + 2.

Explanation:

In the given scenario, the dealership has experienced a change from selling 2 cars one week(P0) to selling 5 cars the next week(P1). This indicates a weekly increase of 3 cars. Therefore, the growth rate can be described as 3 cars per week.

Furthermore, a linear growth model describes growth that happens at a constant rate, and since the growth here is 3 cars per week, this can be represented by a linear equation. The constant term of the equation would be P0, or the initial amount (2 cars) and the coefficient of n in the equation would be the weekly increment, 3 cars.

This forms the equation P(n) = 3n + 2, where n is the number of weeks. Hence the correct option is D) The linear equation representing car sales is P(n) = 3n + 2.

Learn more about Linear Growth here:

https://brainly.com/question/17134319

#SPJ11

Thanks for taking the time to read The number of cars sold weekly by a new automobile dealership grows according to a linear growth model If this week the dealership sold two. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada