11. According to Mrs. Gardiner in her letter to Elizabeth, Mr. Gardiner let Darcy "foot the bill" of bribing Wickham to marry Lydia. Why did Mr. Gardiner do this?

Answerimmediately

Horizontal asymptote at  tells us that the original graph has been translated down.since  ,  are positive.  also we can say that the point  has a smaller  -coordinate than  .this means that the  transformed exponential function is increasing as it goes to the right. as it goes from  to , the value of the exponential function increases. it goes from to something bigger, . therefore, as  . the left hand would be the side that approaches the horizontal asymptote.so the answer is d

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