Answer:
Step-by-step explanation:
By definition, the average rate of change of a function f over an interval [a,b] is given by
compute the quantity
for all the three function
Average rate of change of f:
We will simply use the table to check the values for f(3) and f(0):
Average rate of change of g:
We will use the graph to to check the values for g(3) and g(0):
Average rate of change of h:
We can plug the values in the equation to get h(3) and h(0):
And so the average rate of change is
4/5 is the answer unless you need it in decimal
Volume of a cylinder is pi*(radius)^2* height. pi is 3.14 and radius is half of diameter which would be 3. height is 8. Thus volume of a cylinder in your case is pi*9*8 or 72*pi which is approximately 226.19
P(x) = 12x – 180
Given:
A company makes and sells charm bracelets.
The cost of producing x bracelets is represented by the function C(x) = 180 +
8x
The revenue earned from selling x bracelets is represented by the function
R(x) = 20x.
Explanation of terms:
For x bracelets,
Cost of production is C(x); C(x) = 180 + 8x
Revenue earned is R(x); R(x) = 20x.Profit made is P(x); P(x) is unknown
Profit made = Revenue earned – Cost of production
∴ P(x) = R(x) – C(x)
P(x) = 20x – (180 + 8x)
P(x) = 20x – 180 – 8x
P(x) = 12x – 180
The profit made from selling x bracelets is represented by the function
<em> P(x) = 12x – 180</em>
