Congratulations! You have just won a jet ski worth $8000. The depreciated value of the jet ski (V) after t years is given by V = 8000 − 725t , 0 ≤ t ≤ 11.

AUse a graphing utility to graph the equation. Include a t-chart with at least 5 key points with your accurate labeled graph.
BAfter how many years will the jet ski be worth $5100? Show all of your work or explain how you came up with your answer.
CWhat will be the value of the jet ski after 9 years? Show all of your work or explain how you came up with your answer.

A$y=mx+c$
$m=gradient=-725$
$y(v)-intercept=8000$

b) $5100=8000-725t$
$2900=725t$
$t=4$
The value will be 5100 after 4 years.

c) $V=8000-725(9)$
$V=8000-6525$
$V=1475$
The value of the jet will be 1475 after 9 years.

Hope I helped bro, now i can sleep

Answer Link

Anonymous Anonymous · Answer 2 · 2015-02-21T07:53:33-05:00

So:

$V=8000-725t\quad \{ 0\le t\le 11\}$

V (in dollars) stands for the depreciated or non depreciated value of the jet ski.

t (in years) stands for the amount of time that has passed. t is greater or equal to 0 and less than or equal to 11.

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Question (a):

Now V is a function of t. V=f(t).

When t=0, V=0 --> Point:(0,0)

When t=2, V=6550 --> Point (2, 6550)

When t=4, V=5100 --> Point (4, 5100)

When t=6, V=3650 --> Point (6, 3650)

When t=8, V=2200 --> Point (8,2200)

When t=11, V=25 --> Point: (11, 25)

So as the graph V=8000-725t is LINEAR, we can draw a line through the points mentioned above.

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Question (b): After how many years will the jet ski be worth $5100?

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Answer: 4 years.

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Question (c): What will be the value of the jet ski after 9 years?

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The answer is $1,475.00