Answer:
Part 1) The rate of change is 
Part 2) The initial value is 
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or rate of change
b is the y-intercept or initial value
step 1
Find the slope or rate of change
The formula to calculate the slope between two points is equal to

we have the points
(5,12)and (2,6)
substitute the values in the formula



therefore
The rate of change is 
step 2
Find the initial value
we have


substitute in the equation 

solve for b

---> initial value
The linear equation is equal to

The y-intercept or initial value is 2
Answer:
Which cost category in the table shows an example of direct variation? WEED-HAND
The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario? Y=63x
What would be the cost for office expenses for 24 months? $1512.00
Step-by-step explanation:
Answer:
The demabd function is:

Step-by-step explanation:
The demand follow the linear equation 
1. When p=$2.00 and q=9000, the equation is:

2. Whe p=$4.00 and q=0, the equation is:

3. Solve equation (1) for b:

4. Replace the value of b in equation (2)

The value of m is 4500
5. Calculate b, replacing m:

The value of b is 18000