\"A Test Prep Chapte X?(1) Exoc nents &? errecalculus With 0(1)Calu m Scc × Y ?x

Question

"A Test Prep Chapte X?(1) Exoc nents &? errecalculus With 0(1)Calu m Scc × Y ?x/sqrti Wolfri eCnegg Study GDX e "ATest Prep Cha x x x Apps?buisness law i curri puter v webassign?wolfram lpha BUS2 NIRO IOU ? oakland Raiders lic e Lssent als Of Preck e Lssentials Of Precak e Precalculus With Cal 21. -1 points ZillPreCalc6 6.3.071 My NotesAsk Your Teacher + Find the point on the graph of the given function that has the indicated y-coordinate rx) 3: 37 eBook Submit Answer Save Progress Practice Another Version 22. -/3 points ZillPreCalc6 6.4.001 My Notes Ask Your Teacher After 2 hours the number of bacteria in a culture is observed to have doubled (a) Find an exponential model P(t) Poekt, k0 for the number of bacteria in the culture at time t. (Round k to four decimal places. Assume t is measured in hours P(t)- (b) Find the number of bacteria present in the culture after 9 hours. (Round your answer to four decimal places.) P(9)- (c) Find the time that it takes the culture to grow to 70 times its initial size. (Round your answer to two decimal places.)

Explanation / Answer

1) f(x) = 3^x

37 = 3^x

ln 37 = x ln 3

x = ln 37 / ln 3

x = 3.2868

( x,y ) = ( 3.2868 , 37 )

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