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Jim's Market couldn't keep Crunchy Critter Crackers in stock. Jim started with 300 boxes but everyone wanted them. The first day Jim sold 6 boxes, and on the second day he sold 14 boxes. Each day 8 more boxes were sold than the day before. So after two days, he had sold 20 boxes. If he kept selling the crackers at this rate, when would Jim run out of Crunchy Critter Crackers?

 Apr 6, 2021
 #1
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Let  the first  term  =  6

 

Let  the  number  sold  on  the nth  day  be   8n

 

And  we  need  to  solve  this inequality

 

[  6 + 8n ]  *  ( n/ 2)   ≤  300

 

(3  +  4n)n  ≤  300

 

4n^2  + 3n  - 300 ≤  0

 

Let  n  = x  and see the  graph here  :  https://www.desmos.com/calculator/d24dtkqwy0

 

It shows  that he runs  out  after  about  8.3  days  

 

 

cool cool cool

 Apr 6, 2021

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