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Question
a sandwich shop purchases a used pizza oven for $725. after 5 years, the oven will have to be discarded and replaced. write a linear equation giving the value v of the equipment during the 5 years it will be in use. (use t to represent the year.)
v(t) =
Step1: Identify initial value
Initial value at $t=0$: $V(0) = 725$
Step2: Calculate annual depreciation
Annual depreciation: $\frac{725}{5} = 145$
Step3: Form linear equation
Linear depreciation model: $V(t) = \text{Initial value} - \text{Depreciation} \times t$
$V(t) = 725 - 145t$
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$V(t) = 725 - 145t$