Ayumi plans to go blueberry piking before school, which starts at 8: 00 am the amount of blueberries b, in cups that alum picks given that she starts picking t hour after 12: 00am, is given by th function muffins, m, that she can bake with n cups of blueberries is given by the function m(n)=12n

M(t) = M(16 - 2·t)

Step-by-step explanation:

The function is just formed by using the concept of composite functions.

B is cups of blueberries, and n is cups of blueberries,

So by substituting values the required equations formed are given by :

B(t) = 2·(8 - t)  

M(n) = 12·n  

n = B(t)  

M(t) = M(n)

       = M(B(t))

       = M(2·(8 - t))

       = M(16 - 2·t)

Therefore, this is the required function muffins M

192-24t

Step-by-step explanation:

That's the correct answer on Khan Academy. I don't remember the steps on how I got this answer. It's 100% correct.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have