After a television advertising campaign ended, the weekly sales of a product fel

Question

After a television advertising campaign ended, the weekly sales of a product fell rapidly. Weekly sales are given by S = 600e^-0.07x dollars, where x is the number of weeks after the campaign ended a. Use the logarithmic form of this function to find the number of weeks after the end of the campaign before weekly sales fell to $13796. b. Check your solution by graphical or numerical methods. a. The number of weeks before weekly sales fell below $137 96 after the end of the campaign is approximately (Do not round until the final answer Then round to the nearest whole number as needed) b. The solution checks algebraically because S = 600 e^-0.07 = $ (Type integers or decimals rounded to two decimal places as needed.)

Explanation / Answer

S=600e0.07x

a. 137.96=600e0.07x

Taking ln on both sides

ln(137.96/600)=0.07x

x=21 weeks

b. S=600e-0.07*21=Approx 137.96

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