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Question 69671: Suppose that the relationship between te tempeature t of a cup of water (in degrees fahrenheit) and the number of seconds s that is in themicrowave is given by linear equation. If initially, the temperature is 60 degrees fahrenheit, and after 120 seconds it has risen to 200 degrees fahrnheit:
1) What would the temperature be after 30 seconds?
2) How long would youhave to leave it in for the temperature to reach 300 degrees fahrenheit?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose that the relationship between te tempeature t of a cup of water (in degrees fahrenheit) and the number of seconds s that is in themicrowave is given by linear equation. If initially, the temperature is 60 degrees fahrenheit, and after 120 seconds it has risen to 200 degrees fahrnheit:
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You are given two "points" relating time and temperature: (0,60), (120,200)
From these you can form an equation:
slope = [200-60]/[120-0]= 140/120=7/6
y-60=(7/6)(x-0)
y=(7/6)x+60
Y is temperature and x is time.
1) What would the temperature be after 30 seconds?
temp = (7/6)(30)+60 = 95 degrees
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2) How long would you have to leave it in for the temperature to reach 300 degrees fahrenheit
300=(7/6)x+60
240=(7/6)x
x=(6/7)240
time= 205.71 seconds
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Cheers,
Stan H.
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