Answer:
Step-by-step explanation:
Part A
x-intercepts of the graph → x = 0, 6
Maximum value of the graph → f(x) = 120
Part B
Increasing in the interval → 0 ≤ x ≤ 3
Decreasing in the interval → 3 < x ≤ 6
As the price of goods increase in the interval [0, 3], profit increases.
But in the price interval of (3, 6] profit of the company decreases.
Part C
Average rate of change of a function 'f' in the interval of x = a and x = b is given by,
Average rate of change = 
Therefore, average rate of change of the function in the interval x = 1 and x = 3 will be,
Average rate of change = 
= 
= 30
<span>paper and pencil to record work</span>
Answer:
8
Step-by-step explanation:
Compatible numbers are defined as the numbers which are very close to the numbers that they are replacing that divides evenly into each other.
In the context, we have to estimate the quotient using the compatible numbers in order to estimate 245 divided by 3.
So, estimating 245 as 240 and 3 as 30.
Here, 240 is very close to 245 and 30 is close to 3. So the quotient is the result when we divide 240 by 30 and it divides evenly into 240.
We first divide the non zero parts of each number i.e. 24 by 3 to get the first part of the estimate.
Then we add on the zero if there were left in the problem to get your estimate.
Therefore,
240 / 30 = 8
So here, the quotient is estimated as 8.
