Determining Variation...2

[nycmathguy]

Section 1.10
36 & 38

Question 36

y = kx

2 = 5k

2/5 = k

4 = 10k

4/10 = k

2/5 = k

I will stop here and assume that the form is y = kx.

The model that relates x and y is y = (2/5)k.

Question 38

y = kx

24 = 5k

24/5 = k

12 = 10k

12/10 = k

6/5 = k

Two distinct k values tells me that the form needed is y = k/x.

I will go back to the point (5, 24).

24 = k/5

24(5) = k

120 = k

Now use (10, 12).

12 = k/10

12(10) = k

120 = k

I can stop here and assume that the needed form is y = k/x.

The model that relates x and y is y = 120/x.

You say?

 

[MathLover1]

perfect

 

[nycmathguy]

perfect

Very good. You see, less questions per day leads to more correct answers.

 

[MathLover1]

Very good. You see, less questions per day leads to more correct answers.

usually, less is more

 

[nycmathguy]

usually, less is more

Less is more? Meaning? Do you mean more is less work?

 

[MathLover1]

Less is more means if you have less questions , you will have more time to go over answers, and you will understand theory better.
Understand theory better will lead to less time spent on answering questions, more capability of doing mental math and shortening steps to solutions.

 

[nycmathguy]

Less is more means if you have less questions , you will have more time to go over answers, and you will understand theory better.
Understand theory better will lead to less time spent on answering questions, more capability of doing mental math and shortening steps to solutions.

I concur. Less time allows me to take my time learning theory. Theory is the key to understanding math and physics.