Brandon purchased a new guitar in 2012. The value of his guitar, t years after he bought it, can be modeled by the function A(t)

Question

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Brandon purchased a new guitar in 2012. The value of his guitar, t years after he bought it, can be modeled by the function A(t)

=145(0.95)t.
Drag and drop the answer to the boxes below to complete the sentence.

145, 0.95
a decrease of, an increase of
5%, 45%, 95%

The rate of change in the value of the guitar is modeled by _____, which represents _____________ ______ per year.

Mathematics

1 answer:

Zina [12.3K] · Answer 1 · 2026-02-20T12:57:49+03:00

Answer: The guitar's value over time is described by the 0.95 metric, indicating a 5% annual depreciation.

Step-by-step explanation:

To address this inquiry, we use an exponential decay formula:

A = P (1 - r) t

Where:

P = initial price

r = the reduction rate (expressed as a decimal)

t = time in years

A = price after t years

Substituting the known values:

A(t)=145(0.95)t.

Where

0.95 = 1-r

0.95-1 = r

-0.05 = -r

0.05 = r

Converted to percentage:

0.05 x 100 = 5%

Please reach out if further clarification is needed or if something was unclear.