P.O.W.

Who climbed the steepest slope?

The Royal Mountaineering Society has a dilemma. This year, 3 climbers are competing for the Steepmeister Cup, an award given to the person who climbs the steepest slope. The Society's membership has to determine who the winner is based on two points from each member's climb. Determine which mountaineer climbed the steepest slope.

	Bim Sala Bim climbed Mount Umpa on the Northern Range of the Wowie Mountains. He ate only chocolate chip cookies during the climb.	The coordinates of Mount Umpa: (25,1), (190, 75)
	Martha Higgenbothom climbed the mountain known only as K13. Her trusty yeti guide was the only company she had during the long climb. They plan on getting married after the award ceremony.	The coordinates of K13: (16,9), (88, 67)
	Jed Muckenhaupt climbed the perilous peaks of Mount Penndot. Many of the paths were blocked and in bad repair. He had to make many detours to get to the top.	The coordinates of Mount Penndot: (7,31), (123,140)

Solve the following problems by Friday January 30, 2009. Please show all work, and come to class ready to defend your solutions and reasoning.

• The average lifespan of American women has been tracked, and the model for the data is y = 0.2t + 73, where t = 0 corresponds to 1960. Explain the meaning of the slope and y-intercept.

• The equation for the speed (not the height) of a ball that is thrown straight up in the air is given by v = 128 - 32t, where v is the velocity (in feet per second) and t is the number of seconds after the ball is thrown. With what initial velocity was the ball thrown? What is the meaning of the slope?

• Fishermen in the Finger Lakes Region have been recording the deadfish they encounter while fishing in the region. The Department of Environmental Conservation monitors the pollution index for the Finger Lakes Region. The model for the number of fish deaths "y" for a given pollution index "x" is y = 9.607 + 111.958. What is the meaning of the slope? What is the meaning of the y-intercept?

• A credit manager rates each applicant for a car loan in a scale of 1 through 5 and then determines the interest rate from the accompanying table. Find the equation of the line in slope-intercept for that goes through these points.

Credit Rating, Interest
Rate, (%)
1 , 24
2 ,20
3 ,16
4, 12
5, 8

Slope Intercept Form Games and P.O.P.

Kill The Cockroach game using slope (game)

Match Slope Definitions and Words

Use a Slider to determine slope and y-intercept of a given line

Play basketball using slope and y-intercept (game)

Identify the equation of the given line (game)

Manipulate the line to represent the given equation (game)

Slope-intercept form practice sheet