Question

Write the exponential function y = 50e^{-0.17t} in the form y = ab^t. (a) Once you have rewritten the formula, give b accurate to at least four decimal places. b = 0.8437 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 decay rate is 15.63 % per year (round to the nearest 0.01%). (c) The continuous decay rate is 16.61 % per year (round to the nearest 0.01%).

          Write the exponential function y = 50e^{-0.17t} in the form y = ab^t.

(a) Once you have rewritten the formula, give b accurate to at least four decimal places.
b = 0.8437

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 decay rate is 15.63 % per year (round to the nearest 0.01%).

(c) The continuous decay rate is 16.61 % per year (round to the nearest 0.01%).

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Write the exponential function y = 50e^-0.17t in the form y = ab^t.

(a) Once you have rewritten the formula, give b accurate to at least four decimal places.
b = 0.8437

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 decay rate is 15.63 % per year (round to the nearest 0.01%).

(c) The continuous decay rate is 16.61 % per year (round to the nearest 0.01%).

Added by Karen G.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Jason Horton

03/17/2022

Step 1

17e^(0.17t) in the form y = ab^t. In this case, a = 0.17 and b = e^0.17. Now, we need to find the value of b. We know that e is approximately equal to 2.71828. So, b = e^0.17 = 2.71828^0.17 = 1.1853 (rounded to four decimal places). So, the function in the Show more…

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Write the exponential function y = 50e^{-0.17t} in the form y = ab^t. Once you have rewritten the formula, give b accurate to at least four decimal places. b = 0.8437. 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 decay rate is 15.63 % per year (round to the nearest 0.01%). (c) The continuous decay rate is 16.61 % per year (round to the nearest 0.01%).

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