Question

Select the correct answer.The manager at a car dealership is tracking the selling prices of two different used car models. When the tracking began, the selling price ofmodel A was less than $8,000, and the selling price of model B was at most $10,000. The manager has determined that the price of model Alsdecreasing at a rate of 129 each year, and the price of model B is decreasing at a rate of 15% each year.Which system of Inequalities can be used to determine after how many years, that the selling price, y, will be the same for both car models?Ο Α. .Sy < 8,000(0.82)*y < 10,000(0.85)ОВ.y = 8,000(1.12)1 y < 10,000(1.15)Sy < 8,000(1.12)Y = 10,000(1.15)Ос.OD. Jy 5 8,000(0.88)y < 10,000(0.85)

Answer 1

In the first case

Model A

The exponential equation for this is

y< 8000(1-12%)^t

y < 8000(0.88)^t

For that of model B

y ≤ 10 000 ( 1- 15%)^t

y ≤ 10000(0.85)^t