A laptop is purchased for $2,000 , and it loses 20% of its value each year. What equation models the value of the laptop after x years?
Answer
A
y is equal to 2 comma 000 minus 0 point 2 x
B
y is equal to 2 comma 000 times open paren 1 minus 0 point 2 close paren to the x th power
C
y is equal to 2 comma 000 x open paren 1 minus 0 point 2 close paren
D
y is equal to 2 comma 000 times open paren 1 plus 0 point 2 close paren to the x th power
Explanation
A 20% loss each year means the laptop keeps 100% − 20% = 80% of its value each year, or 0.8. After x years, its value is the initial $2,000 multiplied by 0.8 to the xth power: y = 2,000(1 − 0.2)^x. This is choice D.
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