Question

A laptop computer was purchased for $1050. Each year since, the resale value has decreased by 29%.

Lett 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 relationship between y and t.

Answer 1

An exponential function is a function of the form y = ab^x, where a and b are constants, and x is the input variable.

In this case, the input variable is t, the number of years since the purchase, and the output variable is y, the resale value of the laptop computer.

We are given that the resale value decreases by 29% each year, so we can express the decrease as a decimal by dividing 29 by 100: 29/100 = 0.29

The relationship between y and t can be written as:

y = 1050(1 - 0.29)^t

In this function, 1050 is the initial value, 1-0.29 is the decreasing factor, and t is the number of years since the purchase. This function shows the relationship between y and t, that is the resale value of the laptop computer in relation to the number of years since the purchase.