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# ps1an - UNIVERSITY OF WISCONSIN Economics 101 Fall 2005 Wei...

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a) y =10-2x is represented by the solid line above. b) The slope of y =10-2x is the coefficient on x: -2. The vertical intercept is 10. If x were on the vertical axis the slope would be inverted – that is, the slope would be –1/2.

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c) x and y are negatively related. d) y =12 - 3x is represented by the (lighter) dashed line above. e) The slope of y =12 - 3x is –3. This line steeper than the first. f) These two lines cross where x = 2 and y = 6. You can solve the two equations simultaneously by setting them equal to one another and solving for x, then substituting the value of x into either of the original equations to find the value for y. g) y=15 – 3x. is represented by the bold dashed line.
2. A survey of college students generated the following data. a) above. b) The slope of the relationship between hours spent studying and G.P.A. in the range of 18 to 24 hours is 1/12 (rise is .5, run is 6). c) The slope decreases as the time spent studying increases. This means that as you study more, the incremental increase in GPA falls. Later in the semester, we will come to know this

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ps1an - UNIVERSITY OF WISCONSIN Economics 101 Fall 2005 Wei...

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