Answer:
(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product
(b) 
Step-by-step explanation:
Given
The attached table
Solving (a): The rule of the table in words
First, we calculate the slope (m)

Using:


So, we have:



The equation is calculated using:

Using:

We have:


Make y the subject


Hence, the rule is:
Multiply the input (x) by 2 and add 5 to the result of the product
(b): The rule, in algebra
As solved in (a), the rule is:

Answer:
$104,167 approx.
Step-by-step explanation:
Step one:
Given data
Morgan made $12,500 on the sale of a home.
Her commission she earns in selling homes is 12%
Step two:
let the cost of the home be x
So 12% of x= 12,500
12/100*x= 12,500
0.12*x=12,500
0.12x=12,500
divide both sides by 0.12
x= 12,500/0.12
x=$104,166.66
x=$104,167