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Karen bakes cookies. She has observed that the number of cookies that turn out well in each batch varies with the size of the batch and is given by the function () = 2 – 23, where is the size of the batch (number of cookies in each batch). She never bakes fewer than 12 cookies in a batch. If the size of five batches is {20, 25, 26, 27, 34}, how many cookies turn out well in each batch?

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Karen bakes cookies. She has observed that the number of cookies that turn out well in each batch varies with the size of the batch and is given by the function f(x) = 2x – 23, where x is the size of the batch (number of cookies in each batch). She never bakes fewer than 12 cookies in a batch. If the size of five batches is {20, 25, 26, 27, 34}, how many cookies turn out well in each batch?

we have that
f(x) = 2x – 23

case a) for the size of the batch x=20
substitute
f(20)=2*20-23------> f(20)=17 cookies

the answer Part a) is 17 cookies

case b) for the size of the batch x=25
substitute
f(25)=2*25-23------> f(25)=27 cookies

the answer Part b) is 27 cookies

case c) for the size of the batch x=26
substitute
f(26)=2*26-23------> f(26)=29 cookies

the answer Part c) is 29 cookies

case d) for the size of the batch x=27
substitute
f(27)=2*27-23------> f(27)=31 cookies

the answer Part d) is 31 cookies

case e) for the size of the batch x=34
substitute
f(34)=2*34-23------> f(34)=45 cookies

the answer Part e) is 45 cookies

the complete answer is
{17,27,29,31,45} cookies
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