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?

answers choices
{17, 27, 29, 31, 45}
{18, 24, 26, 30, 46}
{14, 23, 25, 31, 42}
{20, 24, 25, 26, 44

Substitute the values of the size of the 5 batches to the model.

For example

@x = 20

f(20) = 2*20 – 23 = 17

f(25) = 2*25 – 23 = 27

f(26) =29

f(27) = 31

f(34) = 45

Therefore the answer is the first choice (17, 27, 29, 31, 42)

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.