Question

A laptop computer was purchased for $1300. Each year since, the resale value has decreased by 28%.

Let t be the number of years since the purchase. Let y be the resale value of the laptop computer, in dollars.
Write an exponential function showing the relatlonship between y and t.

Answer 1

The exponential function to describe the resale value y of a laptop after t years since its initial $1300 purchase, with a yearly depreciation rate of 28%, is y = 1300 x (0.72)^t.

Step-by-step explanation:

The question involves writing an exponential function to describe the depreciation of a laptop's value over time. Since the value decreases by 28% each year, we can express the resale value, y, as a function of the time in years, t, using the formula:

y = 1300 × (1 - 0.28)^t

y = 1300 × (0.72)^t

The starting value of the laptop is $1300, and each year, it retains 72% (100% - 28%) of its value from the previous year. This resale value is calculated by raising 0.72 to the power of t, the number of years since the purchase.