To find out how many books Lisa will have read after being in the book club for 20 months, we first need to determine her reading rate in terms of books per month.
Lisa read a total of 75 books over 15 months. To find her unit rate (books per month), we can divide the total number of books by the total number of months:
\[ \text{Unit rate} = \frac{\text{Total books}}{\text{Total months}} = \frac{75 \text{ books}}{15 \text{ months}} = 5 \text{ books/month} \]
Now that we know Lisa reads 5 books each month, we can calculate how many books she will have read by the end of 20 months:
\[ \text{Total books read in 20 months} = \text{Unit rate} \times \text{Total months} = 5 \text{ books/month} \times 20 \text{ months} \]
\[ \text{Total books read in 20 months} = 100 \text{ books} \]
So, after 20 months, Lisa will have read a total of 100 books.
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