Question 1071699: When you are 18 years old you have a hair that is 19 centimeters, and your hair grows about 12 centimeters each year. Let H(t) be the length, in centimeters, of that hair t years after age 18.
a) fine a formula that gives H as a linear function of t
b) how long will it take for the air to reach a length of 92 centimeters.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! When you are 18 years old you have a hair that is 19 centimeters, and your hair grows about 12 centimeters each year. Let H(t) be the length, in centimeters, of that hair t years after age 18.
H(18) = 19
m = 12
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Form:: H(t) = m*t + b
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Solve for "b"::
19 = 12*18 + b
b = -197
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a) fine a formula that gives H as a linear function of t
H(t) = 12t - 197
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b) how long will it take for the air to reach a length of 92 centimeters.
Solve::
92 = 12t - 197
12t = 289
time = 24 (age at which hair length is 92 cm
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Cheers,
Stan H.
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