Answer:
(a) Their rates of change differ by 2
Step-by-step explanation:
Given
See attachment for functions M and P
Required
Determine what is true about the rates of M and P
First, we calculate the slope (i.e. rate) of both functions.
Slope is calculated as:

From the table of M, we have:


So, the slope is:



For function P, we have:

A function is represented as:

Where:

So, by comparison:

At this point, we have:
--- Slope of M
--- Slope of P
<em>Only option (a) is true because both slopes differ by 2. i.e. 7 - 5 = 2</em>
<em>Other options are not true</em>