A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. When he started his diet, he weighed
79.5 kilograms. He gained weight at a rate of 5.5 kilograms per month.
Let y represent the sumo wrestler's weight (in kilograms) after x months.
Which of the following could be the graph of the relationship?
Choose 1 answer:
Let y represent the sumo wrestler's weight (in kilograms) after x months.
Which of the following could be the graph of the relationship?
Choose 1 answer:
1 answer:
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General Idea:
When we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)
Applying the concept:
In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).
If C (x, y) centered at origin with a scale factor of k, then the dilated point will be given by C' (kx, ky)
We know &
Substituting 6 for x in the equation , we get
.
Dividing 6 on both sides
Simplifying fractions on both sides
Point A from the diagram is (-3, 3)
x-coordinate of A' =
y-coordinate of A' =
Point A' is given by (-3.6, 3.6)
Conclusion:
<u>Scale factor of dilation is 1.2</u>
<u>The coordinates of point A' is (-3.6, 3.6)</u>
The conversion is
So
We're given the fairly unusual
It's fairly unusual because usually an angle is given in degrees or radians, and typically the radians are a fraction times pi. We'll assume radians.
Ah, there's our .75. The approximate answer is
Third choice.
The exact answer is
also a line through the origin.