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anonymous

  • one year ago

A new fitness center opened up with 24 clients. Each week they are signing up an average of 5 new members. The business owner wrote the explicit formula for this situation as being A(n) = 24 + (n - 1)(5). Is this correct for this situation? Justify your answer using complete sentences and proper grammar.

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  1. anonymous
    • one year ago
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    @freckles

  2. anonymous
    • one year ago
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    so i think no .. They start with 24. And get 5 a week. I am assuming the n stands for the week. A=24 + 5(n)  am i right ?

  3. phi
    • one year ago
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    it depends on what we count as week 1. Normally people count week 1 as the starting point (where A = 24) so you would want the formula in the question A= 24 + (n-1)*5

  4. phi
    • one year ago
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    Your equation A(n)= 24+5n means you start counting at n=0 we could do that, but (unfortunately) the people who wrote this question assume we start at n=1. They assume that, because that is how sequences are often taught, and they don't expect the student to think too much about it.

  5. anonymous
    • one year ago
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    but why would n -1 ?

  6. phi
    • one year ago
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    you want A(1) to be 24 if you use A(n)= 24+5*n we would get A(1)= 24+5*1 = 29 (i.e. 5 too many) to fix it up, we first subtract 1 from n. now it will work A(1)= 24 A(2)= 29 (5 more) A(3)= 34 , etc

  7. anonymous
    • one year ago
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    Ohhhhh , thank you !

  8. phi
    • one year ago
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    The formula tells you how to figure out how many members there will be, depending on the week. We start with week 1 , with 24 members

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