Answer:
Average rate of change = 
Step-by-step explanation:
Average rate of change of a function 'f' in the interval a ≤ x ≤ b is given by,
Average rate of change = 
We have to find the average rate of change in the interval 20 ≤ x ≤ 65
From the table attached,
f(65) = 32
f(20) = 14
Average rate of change = 
= 
= 
Therefore, average rate of change in the given interval is
.
Answer:
a
Step-by-step explanation:
because the rest aren't true
Greetings :)
To find slope of two points we will need to use this equation: 
( 6 , -12 ) ( 15 , -3 )
Now let's replace the equation with the numbers. (it will be a fraction).
= 
The equation equals 9 over 9, which also equals 1.
The slope of the line is 1.
Answer:
7850 square units
Step-by-step explanation:
According to the question;
- Circumference of a circle is 314 units;
We are required to find the area of the circle;
- First, we need to ask ourselves how we get the perimeter of a circle;
Perimeter of a circle = pi × D or 2 pi r
Therefore;
Rearranging the formula;
D = Perimeter ÷ pi
Taking pi to be 3.14
Then;
Diameter = 314 units ÷ 3.14
= 100 units
But, radius = Diameter ÷ 2
= 100 units ÷ 2
= 50 units
We also need to know how we calculate the area of a circle;
Area of a circle = pi×r²
Therefore;
Taking pi as 3.14
Then, Area = 3.14 × 50²
= 7850 square units
Thus, the area of the circle is 7850 square units