Problem

Interpret the initial value in \(B(t)=300\cdot~1.2^{t}\) by evaluating \(B(0)\), giving the corresponding point and contextual meaning, distinguishing the base, and checking \(B(1)\).

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substitution = B(0)=300; point = (0 hours,300 bacteria); meaning = growth is 300% hourly; base distinction = 1.2; check = B(1)=360

substitution = B(0)=300·1.2⁰=300; point = (0 hours,300 bacteria); meaning = culture starts with 300 bacteria; base distinction = 1.2 is hourly factor/20% growth; check = B(1)=360 bacteria

substitution = B(300)=0; point = (300 hours,0 bacteria); meaning = zero bacteria initially; base distinction = 1.2; check = B(1)=360

substitution = B(0)=300; point = (0 hours,300 bacteria); meaning = initial count is 300; base distinction = 1.2 means add 1.2 each hour; check = B(1)=301.2 bacteria

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Interpret the initial value in \(B(t)=300\cdot~1.2^{t}\) by evaluating \(B(0)\), giving the corresponding point and contextual meaning, distinguishing the base, and checking \(B(1)\).

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