Question 341719: Bridges on expressways often have expansion joints, which are small gaps in the roadway between one bridge section and the next. The gaps are put there so that the bridge can expand in hot weather. Suppose that a bridge has a gap of 1.3 cm at 22 degrees, and .9 cm at 30 degrees. Write an equation for gap width as a function of temperature.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose that a bridge has a gap of 1.3 cm at 22 degrees, and .9 cm at 30 degrees. Write an equation for gap width as a function of temperature.
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You have two points relating gap to timperature.
(22,1.3) and (30,0.9)
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slope = (0.9-1.3)/(30-22) = -0.05
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Form: g = m*t + b
0.9 = -0.05*30 + b
b = 2.4
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Equation:
gap = -0.05(temp)+2.4
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Cheers,
Stan H.
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