A certain motorcycle manufacturer has been building motorcycles for 96 years. Over that period, production has increased steadily at an annual rate of 4%, so that the production rate, in motorcycles/year, after t years was r (t) = A⋅1.04t where A is a constant representing the initial production rate. What fraction of their total production was built during the last 5 years?

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Santino Aguirre

1 October, 17:02

A certain motorcycle manufacturer has been building motorcycles for 96 years. Over that period, production has increased steadily at an annual rate of 4%, so that the production rate, in motorcycles/year, after t years was r (t) = A⋅1.04t where A is a constant representing the initial production rate. What fraction of their total production was built during the last 5 years?

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Nevaeh Dougherty · Answer 1

By looking at the below equation we can solve further:

r (t) = A⋅1.04^t

First, set t = 96, and compute it.

Then, set t = 91 " (96 - 5) and Solving it".

Both answers will have "A" in them.

Now,

Subtract the production at 91 from that at 96 to get the production for the (5) five years. That number will also have an "A" in it.

Now, divide that result by the total (t = 96) and the "A" will divide out, whats left behind is the ratio or fraction.