Question 436510: The percentage of homes with digital TV services stood at 5% at the beginning of 1990 (t=0) and was projected to grow linearly so that, at the beginning of 2003 (t=4), the percentage of such homes was 25%.
A)Derive an equation of the line passing through the points A(0,5) and B(4,25).
B)Using the equation found in part A find the percentage of homes with digital TV services at the beginning of 2001.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The percentage of homes with digital TV services stood at 5% at the beginning of 1990 (t=0) and was projected to grow linearly so that, at the beginning of 2003 (t=4), the percentage of such homes was 25%.
A)Derive an equation of the line passing through the points A(0,5) and B(4,25).
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slope = (25-5)/(4-0) = 5
Form: y = mx+b
If x is zero, y = 5, and m = 5; solve for "b":
5 = 5*0 + b
b = 5
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Equation:
y = 5x+5
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B)Using the equation found in part A find the percentage of homes with digital TV services at the beginning of 2001.
At the beginning of 2001 t = 11
f(11) = 5*11+5
f(11) = 60
At beginning of 2001 the percentage will be 60%.
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Cheers,
Stan H.
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