A kennel charge $25 per day to board dogs, where d represents the number of days. Upon arrival, each dog must have a one- time b
2 answers:
Answer:
Option A.
Step-by-step explanation:
Let
d -----> the number of days
C(d) -----> the total cost
we know that
The linear equation in slope intercept form is
where
m is the rate or slope of the linear function
b is the y-coordinate of the y-intercept
In this problem we have that
The slope of the linear equation is equal to the charge of $25 per day to board dogs
so
The y-intercept is the value of y when the value of x is equal to zero
In this problem the C-intercept is the total cost when the number of days (d) is equal to zero
The C-intercept is equal to the cost of the bath $12
so
substitute the values
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PART A
The equation of the parabola in vertex form is given by the formula,
where
is the vertex of the parabola.
We substitute these values to obtain,
The point, (3,6) lies on the parabola.
It must therefore satisfy its equation.
Hence the equation of the parabola in vertex form is
PART B
To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.
This implies that
We expand to obtain,
This will give us,
This equation is now in the form,
where
This is the standard form
The equation of the parabola in vertex form is given by the formula,
where
is the vertex of the parabola.
We substitute these values to obtain,
The point, (3,6) lies on the parabola.
It must therefore satisfy its equation.
Hence the equation of the parabola in vertex form is
PART B
To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.
This implies that
We expand to obtain,
This will give us,
This equation is now in the form,
where
This is the standard form