A business purchases a computer system for $3,000. The value of the system decreases at a rate of 15% per year. Which exponential function models this situation?

Respuesta :

answer

[tex]y = 3000 * 0.85^x[/tex]

explanation

exponential functions can be expressed in the form [tex]y=ab^x[/tex] where a is the starting amount and b is the ratio

a = 3000

since the value decreases at a rate of 15% = 0.15, the value it retains each year is b = 1 - 0.15 = 0.85

[tex]y = 3000 * 0.85^x[/tex]