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let x represent the number of cups of additional cups of sugar and y represents the total number of pies she can bake.
Given that;
"Laura has already baked 9 pies, and she can bake 2 pies with each additional cup of sugar she buys"
With 14 additional cups of sugar;
substituting the value of x;
Therefore, the total number of pies Laura can Bake with 14 additional cups of sugar is;
Answer with explanation:
The given statement is which we have to prove by the principal of Mathematical Induction
1.→For, n=1
L H S =2
R H S=1
2>1
L H S> R H S
So,the Statement is true for , n=1.
2.⇒Let the statement is true for, n=k.
---------------------------------------(1)
3⇒Now, we will prove that the mathematical statement is true for, n=k+1.
Hence it is true for, n=k+1.
So,we have proved the statement with the help of mathematical Induction, which is