Answer:
Part A) The equation in standard form is
Part B) The equation in function notation is
Part C) The graph in the attached figure
Step-by-step explanation:
Part A)
Let
x -----> the number of days
y ----> the total rent hat Maria has to pay for renting the coat
we have
(3,285) and (6,510)
<u><em>Find the slope of the linear equation</em></u>
<u><em>Find the equation of the line into point slope form</em></u>
we have
substitute
----> equation of the line into slope point form
<u><em>Find the equation of the line into slope intercept form</em></u>
----> equation of the line into slope intercept form
<u><em>Find the equation of the line into standard form</em></u>
-----> equation of the line into standard form
Part B) Write the equation obtained in Part A using function notation.
we have
Convert to function notation
Let
f(x)=y
substitute
---> equation in function notation
Part C) Describe the steps to graph the equation obtained above on the coordinate axes
To graph the linear equation find out the intercepts
<u><em>Find the y-intercept</em></u>
The y-intercept is the value of y when the value of x is equal to zero
For x=0
The y-intercept is the point (0,60)
<u><em>Find the x-intercept</em></u>
The x-intercept is the value of x when the value of y is equal to zero
For y=0
The x-intercept is the point (-0.8,0)
To graph the line plot the intercepts ad join the points
see the attached figure
