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.

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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
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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 \(\surd\)
v(t) = 1000(0.85)t; the value will fall below $100 in about 14.2 yr. ??

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