SOLUTION: The table shows the cost of buying mugs. Write an equation to model the data, Explain how you arrived at you equation. Number of mugs 1, 2, 3, 4, 5 Total cost 11, 18,

Algebra ->  Sequences-and-series -> SOLUTION: The table shows the cost of buying mugs. Write an equation to model the data, Explain how you arrived at you equation. Number of mugs 1, 2, 3, 4, 5 Total cost 11, 18,      Log On


   

Question 391704: The table shows the cost of buying mugs. Write an equation to model the data, Explain how you arrived at you equation.
Number of mugs 1, 2, 3, 4, 5
Total cost 11, 18, 25, 32, 39
you must include both the equation and explanation in your response.
Answer by Edwin McCravy(20086) About Me  (Show Source):
You can put this solution on YOUR website!

 1,  2,  3,  4,  5 
11, 18, 25, 32, 39

This is an arithmetic sequence with common difference 7

a%5Bn%5D=a%5B1%5D%2B+%28n-1%29d

a%5Bn%5D=11+%2B+%28n-1%297

a%5Bn%5D=11+%2B+7%28n-1%29

a%5Bn%5D=11+%2B+7n+-+7

a%5Bn%5D=7n%2B4

Edwin