Question
A business purchases a computer system for $3000. The value of the system decreases at a rate of 15% per year.
Choose the exponential equation that represents this situation.
(1 point)
Responses
y=3000(1.15)xy is equal to 3000 times 1 point 1 5 to the x th power
y=3000(0.15)xy is equal to 3000 times 0 point 1 5 to the x th power
y=3000−15xy is equal to 3000 minus 15 x
y=3000(0.85)x
Choose the exponential equation that represents this situation.
(1 point)
Responses
y=3000(1.15)xy is equal to 3000 times 1 point 1 5 to the x th power
y=3000(0.15)xy is equal to 3000 times 0 point 1 5 to the x th power
y=3000−15xy is equal to 3000 minus 15 x
y=3000(0.85)x
Answers
GPT-4o mini
The correct exponential equation that represents the depreciation of the computer system is:
\[ y = 3000(0.85)^x \]
This equation shows that the value \( y \) of the computer system decreases by 15% each year (which means it retains 85% of its value, represented by \( 0.85 \)) over \( x \) years.
\[ y = 3000(0.85)^x \]
This equation shows that the value \( y \) of the computer system decreases by 15% each year (which means it retains 85% of its value, represented by \( 0.85 \)) over \( x \) years.