Problem

The Fax Corporation bought a fax machine for $\$ 700$. The fax machine depreciates at a rate of $\$ 25$ a month.
(a) Find a function $\mathrm{F}$ that can be used to determine the value of the fax machine $t$ months after purchase.
Complete the model below.
\[
F(t)=
\]

Answer

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Answer

\(\boxed{F(t)= 700 - 25t}\)

Steps

Step 1 :The Fax Corporation bought a fax machine for $700. The fax machine depreciates at a rate of $25 a month.

Step 2 :Find a function F that can be used to determine the value of the fax machine t months after purchase.

Step 3 :The value of the fax machine decreases by $25 each month. So, after t months, the value of the fax machine would have decreased by $25t.

Step 4 :The initial value of the fax machine is $700. Therefore, the value of the fax machine after t months would be $700 - 25t.

Step 5 :The function F(t) that can be used to determine the value of the fax machine t months after purchase is \(F(t)= 700 - 25t\)

Step 6 :\(\boxed{F(t)= 700 - 25t}\)

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