document.write( "Question 1007145: Q18. The function f(x) = 1 + 1.6 ln (x+1) models the average number of free-throws a basketball player can make consecutively during practice as a function of time, where x is the number of consecutive days the basketball player has practiced for two hours. After how many days of practice can the basketball player make an average of 6 consecutive free throws?\r
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document.write( " a. 24 days
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document.write( " b. 80 days
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document.write( " c. 22 days
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document.write( " d. 78 days \n" );
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Algebra.Com's Answer #623160 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! We need to find x when this function \n" ); document.write( "f(x) = 1 + 1.6 ln (x+1) \n" ); document.write( "equals 6. So set it equal to 6 and solve \n" ); document.write( "f(x) = 1 + 1.6 ln (x+1) = 6 \n" ); document.write( "1.6 ln (x+1) = 5 \n" ); document.write( "ln (x + 1) = 3.125 \n" ); document.write( "Now exponentiate and get \n" ); document.write( "x + 1 = 22.76 \n" ); document.write( "x = 21.76 or about 22 days \n" ); document.write( "Choice C. \n" ); document.write( " |