Question

an exponential function for the value of mary's computer is f(t) = 520(0.25)t where t is time in t years. if t is 0, what is the correct interpretation of the function?

Answer 1

The exponential function that represent the value of Mary's Computer is:


`f(t)=520(0.25)^(t)`

for t=0, we get:


`f(0)=520(0.25)^(0) \\ \\ f(0)=520(1) \\ \\ f(0)=520`

Interpretation:
The exponential function shows the value of her computer after t years, so by replacing t=0, we will get the value of computer the year she bought it.

Thus, the value of computer when Mary bought it was $520.