Answer:
The initial value of the function is 25 and the rate of change is - 5.
Step-by-step explanation:
The table gives the ordered pairs of linear relation and they are (1,20) and (3,10).
Now, the equation of the linear relation that includes those ordered pairs will be
⇒ y - 10 = - 5(x - 3)
⇒ y - 10 = - 5x + 15
⇒ y = - 5x + 25
Therefore, the initial value of the function is 25 and the rate of change is - 5. (Answer)
Answer:
Part 1) The constant of proportionality is 
Part 2) The price of 6 bags of candy is 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
step 1
Let
x ------> the number of bags of candy
y -----> the price
Observing the graph
For x=1
The value of y=6
so
Find the value of k (constant of proportionality)

substitute

The linear equation is equal to

step 2
Find the price of 6 bags of candy
For x=6
substitute in the equation and solve for y

The first one is : y= -1/2x+3
The second one is : y=x-3
20 1\4%=81\4%
81\4 x 3
answer=60.75
Answer:
a) a
b) ab
e) bbbbb
Step-by-step explanation:
We are given the following in the question:


a) a
It is given that 
b) ab

Thus, ab belongs to S.
c) aba
This does not belong to S because we cannot find x for which xb belongs to S.
d) aaab
This does not belong to S because we cannot find x for which xb belongs to S.
e) bbbbb

Thus, bbbbb belongs to S.