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Question

Jason purchased a car for $22,995. According to his research, this make and model of car loses all of its marketabl value after 9 years. If this car depreciates in a straight line form, what are the intercepts of the depreciation equation?

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Jake

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Final answer:The intercepts of Jason's car depreciation equation are (0, 22995) and (9,0). This means his car's value was22,995 at the time of purchase and it will depreciate to 0 over a period of 9 yearsExplanation:The subject of this question is linear depreciation, which is a concept in mathematics. For a car losing its market value in a straight line, the equation of the line would be in the form of y = mx + b. The intercepts the student is asking would be at the point where the line crosses the y-axis (b, or initial value of the car) and where it crosses to x-axis (x, when the car's value is$0).When Jason purchased the car, its value was $22,995, which forms our y-intercept. This is equivalent to the 'b' in the equation. The line crosses the y-axis at this point. Therefore, the y-intercept of the depreciation equation is (0, 22995).As for the x-intercept, this is when the value of the car drops to$0, which according to his research happens after 9 years. This forms our x-intercept (9, 0).So, the intercepts of the equation are (0, 22995) and (9,0).Learn more about Depreciation here:SPJ11

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