anonymous
  • anonymous
A motor scooter purchased for $1,000 depreciates at an annual rate of 15%. Write an exponential function, and graph the function. Use the graph to predict when the value will fall below $100.
Mathematics
chestercat
  • chestercat
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cruffo
  • cruffo
Let x be the number of years since the purchace f(x) = (initial value)*(rate of growth)^x If it is depreciating at a rate of 15% in one year, then the value that remains is 85% of the original value. So the rate should be 0.85. So f(x) = 1000*(0.85)^x Just to check: f(0) = 1000(0.85)^0 = 1000 \(\surd\) f(1) = 1000(0.85)^1 = 850 \(\surd\)
anonymous
  • anonymous
v(t) = 1000(0.85)t; the value will fall below $100 in about 14.2 yr. ??

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