08.07.2022 - 12:22

# The technology center 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 machine (t) months after purchase.

Question:

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

The function to determine the value of the fax machine over time can be expressed as: {eq}f(t) = $625.00 -$25.00t {/eq} where {eq}t {/eq} is the number of months after purchase. This is because the initial value of the fax machine is {eq}$625.00 {/eq}, and it depreciates at a rate of {eq}$25.00 {/eq} per month. Therefore, after {eq}t {/eq} months, the value of the fax machine will be its initial value minus the total depreciation, which is simply {eq}$625.00 -$25.00t {/eq}.
The function to determine the value of the fax machine over time can be expressed as: {eq}f(t) = $625.00 -$25.00t {/eq} where {eq}t {/eq} is the number of months after purchase. This is because the initial value of the fax machine is {eq}$625.00 {/eq}, and it depreciates at a rate of {eq}$25.00 {/eq} per month. Therefore, after {eq}t {/eq} months, the value of the fax machine will be its initial value minus the total depreciation, which is simply {eq}$625.00 -$25.00t {/eq}.
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