Ashley has 100 books that she wants to give away at the rate of n books per week. Write a recursive function that represents the
2 answers:
Answer: , where w is the number of weeks (natural number) .
Step-by-step explanation:
Given: Ashley has 100 books that she wants to give away at the rate of n books per week.
Let 'w' be the number of weeks .
Then after first week w=1,
The number of books Ashley has after first week =
[Since she wants to give away at the rate of n books per week.]
Then after second week w=2,
The number of books Ashley has after second week =
Then after third week w=3,
The number of books Ashley has after third week =
Similarly for w weeks, the number of books Ashley has after w weeks =
Hence, the recursive function that gives the number of books Ashley has at any time is , where w is the number of weeks.
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If you use the distributive property, you need to distribute 3/4 to -10 and 2/5. Distribute means you will multiply it so your resulting equation will be this:
Before you can add, you need to first make them like terms because you cannot add unlike fractions. Get the LCD and form your new equation:
Now you can just add them together to get:
and then simplify your fraction:
or - 
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If you use the distributive property, you need to distribute 3/4 to -10 and 2/5. Distribute means you will multiply it so your resulting equation will be this:
Before you can add, you need to first make them like terms because you cannot add unlike fractions. Get the LCD and form your new equation:
Now you can just add them together to get:
and then simplify your fraction:
The whole fraction becomes negative because when you divide integers and of them is negative, the final answer will be negative.