I don't really understand how to do this, can someone do a step-by-step?: The exponential decay graph shows the expected depreciation for a new boat, selling for 3500, over 10 years. -Write an exponential function for the graph -Use the function to find

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Answer 1 · 2018-04-09T11:14:06

#f(x)=3500e^(-(ln(3/7)x)/3)#
#f(x)=3500e^(-0.2824326201x)#
#f(x)=3500e^(-0.28x)#

I can only do the first question since the rest was cut off.

We have #a=a_0e^(-bx)#

Based on the graph we seem to have #(3,1500)#

#1500=3500e^(-3b)#

#e^(-3b)=1500/3500=3/7#

#-3b=ln(3/7)#

#b=-ln(3/7)/3=-0.2824326201~~-0.28#

#f(x)=3500e^(-(ln(3/7)x)/3)#
#f(x)=3500e^(-0.2824326201x)#
#f(x)=3500e^(-0.28x)#