The cost function is an illustration of a linear function
The equation of the cost function is C(x) = 35 + 0.5x
The given parameters are:
-- the cost of renting a cooler
--- the rate per bottle
Assume the number of bottles in a cooler is x.
The cost function for the bottles in a cooler would be:

So, we have:

Evaluate the products

Hence, the equation is 
Read more about linear functions at:
brainly.com/question/15602982
Answer:
p(w) - - - - - - p = 0.5w ; for 0 < w ≤ 8
p(w) - - - - - - p = 4 ; for w < 8 and w ≤ 12
Step-by-step explanation:
Price, p of weight of a toughurt serving :
p(w) - - - - - - p = 0.5w ; for 0 < w ≤ 8
p(w) - - - - - - p = 4 ; for w < 8 and w ≤ 12
Answer: 48x/64
Work (assuming ^ is multiplication):
12x^4/4x^16
12x ^ 4x = 48x
4 ^ 16 = 64
Answer:
I'm going to lay this out in a chart so it's a little easier to see:
F(x) = f(g(x))
x | f (x) | f ' (x) | g (x) | g ' (x)
--------------------------------------
-2 | 8 | 4 |
5 | | 3 | -2 | 6
Remember the chain rule, which says
(f (g (x))) ' = g ' (x) f ' (g (x))
When they ask for F ' (5), they are asking for (f (g (x))) ' when x = 5.
Using the chain rule, that's
F ' (5) = g ' (5) f ' (g (5))
We can simplify using the numbers provided.
F ' (5) = (6) f ' (-2)
F ' (5) = (6) (4)
F ' (5) = 24
I hope that helps!
by jannat <33