As a bicycle salesperson, Norman earns a fixed salary of $20 per week plus $6 per bicycle for the first six bicycles he sells, $12 per bicycle for the next six bicycles he sells, and $18 per bicycle for every bicycle sold after the first 12. This week, Norman earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true?
I. y > 2x
II. y > x
III. y > 3
A. I only
B. II only
C. I and II
D. II and III
E. I, II, and III
OA:D
How do you proceed for questions like these. I have accross these types a few times now.
The way i go about is like this. To prove y > 2x , I will take a few scenarios and try to prove that y>2x is not essentially true. I I fail to do that then i would assume y >2x. But the problem is that since its not a standard problem i am never sure what data points would be representative enough. Lets say i take 5 set of data points and all of them prove y>2x but i miss a 6th type which proves y < 2x... So i don't feel confident...
What do you guys say ?
-Tk
I. y > 2x
II. y > x
III. y > 3
A. I only
B. II only
C. I and II
D. II and III
E. I, II, and III
OA:D
How do you proceed for questions like these. I have accross these types a few times now.
The way i go about is like this. To prove y > 2x , I will take a few scenarios and try to prove that y>2x is not essentially true. I I fail to do that then i would assume y >2x. But the problem is that since its not a standard problem i am never sure what data points would be representative enough. Lets say i take 5 set of data points and all of them prove y>2x but i miss a 6th type which proves y < 2x... So i don't feel confident...
What do you guys say ?
-Tk
