Question

James purchased a gaming computer for $2,499. He anticipates each year it will decrease in value by 7.9% from the previous year. Write an exponential function that models the value in dollars of the computer x years after James's purchase.

Answer 1

To model the value in dollars of James's computer over time, we can use the exponential function V(x) = 2499(1-0.079)^x. This equation takes into account the percentage decrease in value each year. For example, after 3 years, the value of the computer would be approximately $1963.73.

Step-by-step explanation:

To model the value in dollars of James's computer x years after his purchase, we can use the exponential function V(x) = 2499(1-0.079)^x. In this equation, V(x) represents the value of the computer x years after the purchase and 0.079 represents the percentage decrease in value each year.

For example, to find the value of the computer after 3 years, we substitute x = 3 into the equation:

V(3) = 2499(1-0.079)^3 = 2499(0.921)^3 = 2499(0.78614) ≈ 1963.73

Therefore, the value of the computer after 3 years would be approximately $1963.73.

Answer 2

f(x)=2499(0.079)

Step-by-step explanation: