Question
In 2009, Car A costs about $30,584 and Car B costs about $17,082. Car A depreciates by $3941 each year, and Car B depreciates by $1,415 each year. The values in dollars D(t) and l(t) for Car A and Car B, respectively, are modeled by the following system, where t is the number of years since 2009. V=D(t)=-3941t+30,584 V=I(t)=-1415t+17,082 For what years will the value of Car A be less than the value of Car B?
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Answer to a math question In 2009, Car A costs about $30,584 and Car B costs about $17,082. Car A depreciates by $3941 each year, and Car B depreciates by $1,415 each year. The values in dollars D(t) and l(t) for Car A and Car B, respectively, are modeled by the following system, where t is the number of years since 2009. V=D(t)=-3941t+30,584 V=I(t)=-1415t+17,082 For what years will the value of Car A be less than the value of Car B?
Timmothy
4.868 Answers
1. Set D(t) I(t)
-3941t + 30584 = -1415t + 17082
2. Simplify the equation:
-3941t + 30584 = -1415t + 17082
30584 - 17082 = 3941t - 1415t
13502 = 2526t
t = \frac{13502}{2526}
t\approx5.3452
3. The value of Car A will be less than the value of Car B when:
t>5.3452
Answer:t>5.3452
2. Simplify the equation:
3. The value of Car A will be less than the value of Car B when:
Answer:
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