Rotation and reflection are instances of transformation
See attachment for the new position of
From the question, we have:
The rule of 90 degrees clockwise rotation is:
Using the above transformation, the new points would be
The next transformation is reflection over the x-axis
The rule of this transformation is:
So, the new points would be:
See attachment for the new points
Read more about transformation at:
The graph of amount Tom owes his friend after a given time, <em>t</em>, is a straight line graph with a negative slope
Please find attached the required example of a possible graph that shows the amount Tom owes his friend
Reason:
Let <em>A</em> represent the amount of money Tom buys the boat with, let <em>x</em>
represent the amount of equal payment made and <em>y</em> represents the
amount Tom owes the friend after a given time, <em>t</em>, we have;
y = A - x·t
Therefore, the slope of the graph formed is <em>-x</em>, the y-intercept of the graph
is <em>A</em>, from which the graph that gives the amount of money, in dollars, Tom
owes his friend, as a function of time, in years can be presented as follows,
using example values;
A = $25,000 (Amount the Tom agrees to buy the boat)
x = $5,000 (Amount Tom pays each year for the boat)
By plugging in the above example values, the attached graph can be drawn using MS Excel
Learn more about plotting of straight line graphs here:
