The technology cewnter bought a fax machine for $625.00 and it depreciates at a rate of $25.00 a month. Find a function(f) that can be used to determine the value of the fax amchine (t) months after purchase.

Would it be F(t)=25(t)-625

When you devise a function, always check with know values to make sure at least the given conditions are satisfied.

At t=0, the function should give $625, ie. f(0)=625.
After two months, it should give $625-2*25=$575, or f(2)=575.

Your attempt is close, but contains an error that makes the function not satisfy the given conditions.

To determine the value of the fax machine (f) in terms of the number of months (t) after purchase, you need to consider the initial cost ($625.00) and the rate of depreciation ($25.00 per month).

Since the fax machine's value decreases by $25.00 per month, you subtract $25.00 for each month from the initial cost. Therefore, the function that can be used to determine the value of the fax machine is:

f(t) = 625 - 25t

In this function, t represents the number of months after the purchase, and f(t) represents the value of the fax machine at that time.