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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. The second week, the dealership sold fifteen cars.

What is the rate of increase in the number of cars sold per week?

Answer :

The rate of increase in the number of cars sold per week by the dealership is 7 cars per week, which is calculated as the difference in sales over the first two weeks divided by the time interval between the two measurements.

The rate of increase in the number of cars sold per week by the new automobile dealership can be calculated by finding the slope of the line that represents the growth in sales over the weeks. The first week the dealership sold 8 cars, and the second week the dealership sold 15 cars. To find the rate of increase, we subtract the number of cars sold in the first week from the number of cars sold in the second week and then divide by the number of weeks between these two data points.

Rate of Increase = (Number of cars sold in 2nd week - Number of cars sold in 1st week) / (2nd week - 1st week)

Rate of Increase = (15 - 8) / (2 - 1) = 7 cars per week

Therefore, the dealership is selling 7 more cars each week, thus depicting a linear growth model.

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