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}, there are how many cookies that turned well in each batch?

A. {17, 27, 29, 31, 45}

B. {18, 24, 26, 30, 46}

C. {14, 23, 25, 31, 42}

D. {20, 24, 25, 26, 44}

Question

Ayla Dixon

Mathematics

11 November, 12:31

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}, there are how many cookies that turned well in each batch?

A. {17, 27, 29, 31, 45}

B. {18, 24, 26, 30, 46}

C. {14, 23, 25, 31, 42}

D. {20, 24, 25, 26, 44}

+2

Answers (1)

Know the Answer?

Dorian Vaughan · Answer 1

We simply substitute the given set of values {20, 25, 26, 27, 34} in to the value of x to obtain a set of values for the number of cookies that turned out well, f (x).

This gives:

f (x) = 2 (20) - 23

f (x) = 17

Only one answer contains 17, so the answer is A.