To determine how many books Amy would have read in total after belonging to the book club for 16 months, we first need to find out her reading rate:
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Find the rate: Amy read 14 books over 7 months. We can find her reading rate per month by dividing the total number of books by the number of months:
\[ \text{Rate} = \frac{14 \text{ books}}{7 \text{ months}} = 2 \text{ books/month} \]
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Calculate total books read over 16 months: Now that we have Amy's reading rate, we can find out how many books she would read in 16 months:
\[ \text{Total books} = \text{Rate} \times \text{Time} = 2 \text{ books/month} \times 16 \text{ months} = 32 \text{ books} \]
Therefore, after 16 months, Amy will have read a total of 32 books.