Respuesta :
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].
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