- #1

chwala

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- Homework Statement
- See attached.

- Relevant Equations
- understanding of logs

##s=ab^t##

##\log s= \log a+ t\log b##

Expression on the right hand side increases linearly with ##t##Part(b)

##s=120 ×1.15^t##

##\log s = \log 120+t\log 1.15##

##\log s =2.08+0.06t##

From graph, y-intercept = ##2.08##

##m=\dfrac{2.45-2.08}{6-0}=0.06##

Part (c)

##s(7)=319.2##

##s(6)=277.56##

##s_7Required = 319.2-277.56=41.6##

##s_7Required = 319.2-277.56=42##

Part (d)i

##120 ×1.15^t>70,000##

##1.15^t>583.3##

##t\log 1.15>\log 583.3##

...

##t=46##

Part (d)ii

Online business may be affected with different conditions like taxation in other countries that may in turn slow down the sales. Sales may fluctuate up and down and the model may not have considered that aspect...as it projects continous growth in sale numbers and no decline.Your insights...thanks guys!

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