Problem

Interpret the initial value in $A(t)=1200\cdot~0.85^{t}$ by evaluating $A(0)$, giving the corresponding point and contextual meaning, distinguishing the base, and checking $A(1)$.

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substitution = A(0)=1200·0.85⁰=1200; point = (0 years,$1200); meaning = equipment starts valued at $1200; base distinction = 0.85 retains 85%/decays 15% yearly; check = A(1)=$1020

substitution = A(1200)=0; point = ($1200,0 years); meaning = value begins at zero; base distinction = 0.85; check = A(1)=$1020

substitution = A(0)=1200; point = (0 years,$1200); meaning = initial value is $1200; base distinction = 0.85 means 15% remains; check = A(1)=$180

substitution = A(0)=1200; point = (0 years,$1200); meaning = depreciation is $1200/year; base distinction = 0.85; check = A(1)=$1020

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Interpret the initial value in \(A(t)=1200\cdot~0.85^{t}\) by evaluating \(A(0)\), giving the corresponding point and contextual meaning, distinguishing the base, and checking \(A(1)\).

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