High School

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The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. In the first week, the dealership sold two cars. In the second week, the dealership sold five cars.

Complete the description of the model and provide any missing information.

Answer :

The question involves a linear growth model of car sales at a dealership, indicating a constant weekly increase in sales that can be represented by a linear equation.

The student's question pertains to the linear growth model of the number of cars sold by a dealership over time. To determine the pattern of car sales and predict future sales, one can use mathematical concepts such as slope and y-intercept, which are fundamental in linear equations. A linear growth model suggests that the number of cars sold increases by a constant amount each week, which can be represented on a graph and modeled by an equation of the form y = mx + b, where m is the slope (representing the weekly increase) and b is the y-intercept (the starting value).

Applying this to the dealership scenario, since two cars were sold in the first week and five were sold in the second week, we can calculate the weekly increase in car sales. The slope of the line would be the difference in sales between the two weeks, which is three cars per week (5-2), and the y-intercept is two cars, the number sold in the first week.

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