12 Marc bought a new laptop for $1250. He kept track of the value of
the laptop over the next three years, as shown in the table below.
Years After Purchase
1
2
3
Value in Dollars
1000
800
640
Which function can be used to determine the value of the laptop for
years after the purchase?
(1) fx) = 1000(1.2)
(3) fx) = 1250(1.2)
(2)f(x) = 1000(0.8)
(4) fx) = 1250(0.8)

Respuesta :

Answer:

4

Step-by-step explanation:

it is worth 80% of the prior year

The function can be used to determine the value of the laptop for years after the purchase [tex]\rm f(x)=1250(0.8)^x[/tex].

What is the function?

A function relates an input to an output. It is like a machine that has an input and an output.

Marc bought a new laptop for $1250. He kept track of the value of the laptop over the next three years, as shown in the table below.

Years After Purchase   Value in Dollars

1      1000

2     800

3     640

The function can be used to determine the value of the laptop for years after the purchase is;

[tex]\rm f(x)=1250(0.8)^x\\\\When \ x=1\\\\f(x)=1250(0.8)^1\\\\f(x)=1250 \times (0.8)\\\\f(x)=1000\\\\When \ x=2\\\\f(x)=1250(0.8)^2\\\\f(x)=1250 \times (0.64)\\\\f(x)=800\\\\When \ x=3\\\\f(x)=1250(0.8)^3\\\\f(x)=1250 \times (0.512)\\\\f(x)=640\\\\[/tex]

Hence, the function can be used to determine the value of the laptop for years after the purchase [tex]\rm f(x)=1250(0.8)^x[/tex].

Learn more about function here;

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