Answer:
12
Step-by-step explanation:
The average rate of change in the closed interval [ a, b ] is

Here [ a, b ] = [ 2, 4 ]
f(b) = f)4) = 32 ← from table
f(a) = f(2) = 8 ← from table
Then average rate of change is
=
= 12
Answer:
a) C(1,000)=288,491.11 $
b) c(1,000)=288.49 $/u
c) dC/dx(1,000)=349.74 $/u
d) x=100 u
e) c=220 $/u
Step-by-step explanation:
(a) Find the total cost at a production level of 1000 units.

(b) Find the average cost at a production level of 1000 units.

(c) Find the marginal cost at a production level of 1000 units.

(d) Find the production level that will minimize the average cost.

(e) What is the minimum average cost?

Answer: room 101 and room 107
Step-by-step explanation:
In room 101, the ratio of boys to girls is 16:12. This is further simplified to its lowest fraction by dividing by 4. It becomes 4:3
In room 104, the ratio of boys to girls is 20:9. This cannot be further simplified to its lowest fraction.
In room 107, the ratio of boys to girls is 12:9. This is further simplified to its lowest fraction by dividing by 3. It becomes 4:3
Therefore, room 101 and room 107 have the same ratio.
The equation for the exponential function containing the points (0, 8) and (1, 32) is y = 8(4)ˣ
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
At point (0, 8):
8 = ab⁰
a = 8
At point (1, 32):
32 = 8b
b = 4
The equation for the exponential function containing the points (0, 8) and (1, 32) is y = 8(4)ˣ
Find out more on equation at: brainly.com/question/2972832
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