anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@freckles
anonymous
  • anonymous
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 ?
phi
  • phi
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

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More answers

phi
  • phi
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.
anonymous
  • anonymous
but why would n -1 ?
phi
  • phi
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
anonymous
  • anonymous
Ohhhhh , thank you !
phi
  • phi
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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