Average rate of change of the function 
Solution:
Given function:
from x = 1 to x = 5
Substitute x = 1 and x = 5 in f(x).


Let us find the average rate of change of the function.
Average rate of change

Here a = 1 and b = 5.

Substitute f(5) and f(1).



Average rate of change of the function 
I think it is the first one
Answer:
Correct option is: Testing a claim about two population means.
Step-by-step explanation:
In this provided scenario, a researchers wants to determine if corporations require a longer work week for the employees "working full-time".
It is given that for many years "working full-time" was 40 hours per week.
The researchers researcher gathers data on the hours that corporate employees work each week.
It is quite clear that the researcher wants to determine whether the number of hours worked per week must be increased from 40 hours or not.
A test for the difference between two population means would help the researcher to reach the conclusion.
Thus, the correct option is: Testing a claim about two population means.
The answer is a = -1 to ur question
Answer:
The required equation is 238 = 87 + t
Step-by-step explanation:
Here, the given statement is " 238 is the same as the total of 87 and t"
Now here by simplifying the given statement,we get
The total of 87 and t
= Sum of 87 and t = 87 + t
Also, the given sum is equivalent to 238.
⇒ Sum = 328
or, 87 + t = 238
Hence the required equation is 238 = 87 + t