Slope

Slope

Storyboard Text

  • Bridges like this on highways have expansion joints. They expand when it gets hotter.
  • A certain bridge has a gap of 1.3 cm when the temperature is 22˚C and it has a gap of 0.9 cm when the temperature is 30˚C.
  • At what temperature would the gap close completely?
  • A certain bridge has a gap of 1.3 cm when the temperature is 22˚C and it has a gap of 0.9 cm when the temperature is 30˚C. 
  • Can I try?
  • A certain bridge has a gap of 1.3 cm when the temperature is 22˚C and it has a gap of 0.9 cm when the temperature is 30˚C. 
  • Sure.
  • y=-.4/8x+2.4 y=-.4/8(48)+2.4 y=-2.4+2.4 y=0 The gap will close at 48˚C.
  • y=-.4/8x+2.4 At 35˚C the gap is at 0.65 At 10˚C the gap is at 2.9 y=-.4/8(48)+2.4 y=-2.4+2.4 y=0 The gap will close at 48˚C.
  • Good job.
  • The width intercept (2.4) shows that at 0˚C, the width will be 2.4 cm. The slope (-.4/8) shows that every time the temperature goes down 8 degrees, the gap is at .4
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