Question

Annual consumption of beef per person was about $64.6 \mathrm{lb}$ in 2000 and about $61.2 \mathrm{lb}$ in 2008 . Assuming that $B(t),$ the annual beef consumption $t$ years after $2000,$ is decreasing according to the exponential decay model a) Find the value of $k,$ and write the equation. b) Estimate the consumption of beef in 2015 . c) In what year (theoretically) will the consumption of beef be 20 lb per person?

          Annual consumption of beef per person was about $64.6 \mathrm{lb}$ in 2000 and about $61.2 \mathrm{lb}$ in 2008 . Assuming that $B(t),$ the annual beef consumption $t$ years after $2000,$ is decreasing according to the exponential decay model
a) Find the value of $k,$ and write the equation.
b) Estimate the consumption of beef in 2015 .
c) In what year (theoretically) will the consumption of beef be 20 lb per person?

Added by Brittany N.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Keondre Parker

07/25/2022

Step 1

2 = 64.6e^{8k}\] Dividing both sides by 64.6, we get: \[\frac{61.2}{64.6} = e^{8k}\] ** Show more…

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Annual consumption of beef per person was about $64.6 \mathrm{lb}$ in 2000 and about $61.2 \mathrm{lb}$ in 2008 . Assuming that $B(t),$ the annual beef consumption $t$ years after $2000,$ is decreasing according to the exponential decay model a) Find the value of $k,$ and write the equation. b) Estimate the consumption of beef in 2015 . c) In what year (theoretically) will the consumption of beef be 20 lb per person?