Answer:
The graph in the attached figure
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
Remember that
The unit rate of change is the same as the slope
so
In this problem

The linear equation is equal to

To graph the line we need two points
we have (0,0) because the line passes through the origin
Determine other point
assume a value of x and calculate the value of y
For x=8

The other point is (8,3)
Plot the points and join them to draw the line
The graph in the attached figure
Answer:
$209
Step-by-step explanation:
we know that
The equation of the line in slope intercept form is equal to

where
m is the slope
b is the y-coordinate of the y-intercept (initial value)
Let
x ----> the volume of mulch in cubic yards
y ----> the total cost in dollars
we have that
The slope of the linear equation is

----> flat fee to deliver mulch
The linear equation is

For x=6 yd^3
substitute in the equation and solve for y


Given:
The recurring decimal is
.
To prove:
Algebraically that the recurring decimal
can be written as
.
Proof:
Let,


Multiply both sides by 100.
...(i)
Multiply both sides by 10.
...(ii)
Subtract (i) from (ii).


Divide both sides by 900.


So,
.
Hence proved.
Answer: $833330 per year
Step-by-step explanation: