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4. The value of a truck decreases exponentially since its purchase. The two points on the graph shows the truck'S Initial value and its value a decade afterward. 50 424,000 - 40.000 1-0. (0, 40,000) 40 30 (1,24,000) 20 10 erle s 0.5 1 decades since purchase a. Express the car's value, in dollars, as a function of time d, in decades, since purchase. v (d) - .16000dr40000 b. Write an expression to represent the car's value 4 years after purchase. V(y) = b000 (4) + 4 oobo S00 C. By what factor is the value of the car changing each year? Show your reasonir value in thousànds of dollars

4. The value of a truck decreases exponentially since its purchase. The two points on the graph shows the truck'S Initial value and its value a decade afterward. 50 424,000 - 40.000 1-0. (0, 40,000) 40 30 (1,24,000) 20 10 erle s 0.5 1 decades since purchase a. Express the car's value, in dollars, as a function of time d, in decades, since purchase. v (d) - .16000dr40000 b. Write an expression to represent the car's value 4 years after purchase. V(y) = b000 (4) + 4 oobo S00 C. By what factor is the value of the car changing each year? Show your reasonir value in thousànds of dollars

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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30 20 value in thousands of dollars Illustrative Mathematics 4. The value of a truck decreases exponentially since its purchase. The two points on the graph shows the truck's initial value and its value a decade afterward. 424,000-40.000 2-16000 G-I 40 10. 0.5 to decades since purchase a. Express the car's value, in dollars, as a function of time d, in decades, since purchase. b. Write an expression to represent the car's value 4 years after purchase. %3D C. By what factor is the value of the car changing each year? Show your reasoning. 5. The value of a stock increases by 8% each year. a. Explain why the stock value does not increase by 80% each decade.
Transcribed Image Text:30 20 value in thousands of dollars Illustrative Mathematics 4. The value of a truck decreases exponentially since its purchase. The two points on the graph shows the truck's initial value and its value a decade afterward. 424,000-40.000 2-16000 G-I 40 10. 0.5 to decades since purchase a. Express the car's value, in dollars, as a function of time d, in decades, since purchase. b. Write an expression to represent the car's value 4 years after purchase. %3D C. By what factor is the value of the car changing each year? Show your reasoning. 5. The value of a stock increases by 8% each year. a. Explain why the stock value does not increase by 80% each decade.
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