Question

Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years? What is the equation and the horizontal asymptote of y?

Answer 1

The graph that represents the value of Jason's car after x years is a decreasing exponential function. The equation for the value of the car after x years is y = 12000(0.88)^x. The horizontal asymptote of the graph is y = 0.

Step-by-step explanation:

The graph that represents the value of Jason's car after x years is a decreasing exponential function. The value decreases by 12% every year, which means it is multiplied by 0.88. The equation for the value of the car after x years is y = 12000(0.88)^x. The horizontal asymptote of the graph is y = 0, meaning that the value of the car approaches zero as x increases.