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The earning of the salesperson is an illustration of a linear function.
The possible functions in the two scenarios are: and
The function is given as:
When the base salary is increased, a possible function is:
This is so, because 2500 is greater than 2000
When the commission rate is decreased, a possible function is:
This is so, because 0.05 is less than 0.1
So, the possible functions in the two scenarios are:
and
See attachment for the graphs of both functions
Read more about linear equations at:
Given:
In the given figure the vertices of triangle ABC are A(-2,2), B(4,2), C(-2,-2).
The vertices of triangle A'B'C' are A'(-4,4), B'(8,4), C'(-4,-4).
To find:
The center of dilation and the scale factor.
Solution:
In the given graph, draw the lines AA', BB' and CC'. The intersection point of these lines is the center of dilation.
From the below graph, it is clear that the lines AA', BB' and CC' intersect each other at (0,0).
Therefore, the center of dilation is (0,0).
If a figure is dilated by factor k and the center of dilation is origin, then
It is given that A'(-4,4). So,
On comparing both sides, we get
Therefore, the scale factor is 2.
