Autumn is thinking about buying a car. The table below shows the projected value of two different cars for three years. Number o

Question

Autumn is thinking about buying a car. The table below shows the projected value of two different cars for three years.

Number of years
1
2
3
Car 1 (value in dollars)
38,000
32,000
26,000
Car 2 (value in dollars)
38,000
32,300
27,455

Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points)

Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points)

Part C: Autumn wants to purchase a car that would have the greatest value in 6 years. Will there be any significant difference in the value of either car after 6 years? Explain your answer, and show the value of each car after 6 years. (4 points)

(10 points) ALGEBRA 1 only

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RI SƠ 3 years 2021-07-17T13:53:18+00:00 1 Answers 115 views 0

Answers ( )

  1. diemthu
    0
    2021-07-17T13:54:34+00:00
    Reply

    Part A

    Car 1

    • 26000 – 32000 = 32000 – 38000 = -6000
    • Since the difference is common this is a linear function

    Car 2

    • 32300/38000 = 27465/32300 = 0.85
    • Since the ratio is common this is an exponential function

    Part B

    Car 1

    • V(x) = 38000 – 6000x

    Car 2

    • V(x) = 38000*0.85ˣ

    Part C

    Find V(6) for both cars and compare

    Car 1

    • V(6) = 38000 – 6*6000 = 2000

    Car 2

    • V(6) = 38000*0.85⁶ = 14331.68

    As we see the difference is significant and car 2 has much greater value

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )