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Slope & Y-Intercept In Context

Slope & Y-Intercept In Context. Learning Goal #2 for Focus 4 (HS.S-ID.C.7, 8 & 9, HS.S-ID.B.6, HS.F-IF.B.6) : The student will be able to interpret linear models. Using Slope-Intercept Form.

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Slope & Y-Intercept In Context

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  1. Slope & Y-InterceptIn Context

  2. Learning Goal #2 for Focus 4 (HS.S-ID.C.7, 8 & 9, HS.S-ID.B.6, HS.F-IF.B.6): The student will be able to interpret linear models.

  3. Using Slope-Intercept Form • In a real-life context the y-intercept often represents an initial amount and the slope often represents a rate of change. • Knowing this structure can help you understand equations, write equations in slope-intercept form and understand graphs.

  4. Buying A Computer • You are buying a computer on layaway. You make a $250 deposit and then make weekly payments. • The equation A = 850 – 50T represents this situation. • What is the slope? • What does it mean in this situation? • What is the y-intercept? • What does it mean in this situation? • What is the original amount of the computer? -50 (0, 850) $1,100 [850 + 250 deposit] Image from http://pixabay.com/en/computer-hardware-keyboard-modern-156513/

  5. Access Ramps • Wheelchair access ramps must be built according to very precise specifications so that the ramps are not too steep to maneuver a wheel chair. • If one is standing at the top of the ramp, y stands for the height above the ground and x stands for the horizontal distance from the start of the ramp to the platform. • The equation for the ramp is y = 1/12x

  6. y = 1/12x • What is the meaning of the y-intercept in this particular situation? • Suppose you wish to build a wheelchair accessible ramp into a building, and the first floor is 4 feet above the ground. Determine the how far out horizontally from the building should the ramp begin? (x, 4) (0, 0)

  7. Wheelchair Access Ramp • y = 1/12x • 4 = 1/12x • 48 = x • The ramp will need to be 48 feet long. Image from http://wheelchairassistance.com/wheelchair-ramp/trifold-wheelchair-ramps.php

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