Write the exponential function y= 100e¬0.21t in the form y = ab’. (a) Once you have rewritten the formula, give b accurate to at least four decimal places. b3D help (numbers) If t is measured in years, indicate whether the exponential function is growing or decaying and find the annual and continuous growth/decay rates. The rates you determine should be positive in both cases of growth or decay (by choosing decay the negative rate is implied). (b) The annual growth rate is % per year (round to the nearest 0.01%). (c) The continuous decay rate is % per year (round to the nearest 0.01%).

If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population increases exponentially.

In a wildlife refuge, scientists have released six rabbits. They return one year later and have noticed that the rabbit population has risen to fifty rabbits. Create the exponential formula for this situation. Use appropriate variables other than ‘x’ and ‘y’ in your formula. Create the graph of this formula in Excel and label the axes properly. Display your equation on the graph.

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