When the surrounding flaps are folded up, the base of the box will have dimensions 
by 
, and the box will have a height of 
. So the box has volume, as a function of ,
I don't know what technology is available to you, but we can determine an exact value for that maximizes the volume by using calculus.
Differentiating 
with respect to gives
and setting this equal to 0 gives two critical points at
For the larger critical point we would get a negative volume, so we ignore that one. Then the largest volume would be about 168.5 cubic in.
Take inverse on both sides
i get 74.054
Y = 30 + .25x
the cost = $30 (constant - same every month) + 25 cents per minute
<span>Proportions happen because two events or scenarios are related or associated with one another </span>
Answer:
Range: (-∞, 0]
General Formulas and Concepts:
<u>Algebra I</u>
- Range is the set of y-values that are outputted by function f(x)
Step-by-step explanation:
When we graph the equation, we should see that our y-values span from -∞ to 0. Since 0 is a closed dot, it is inclusive in the range:
(-∞, 0] or y ≤ 0
