SOLUTION: When you are 18 years old you have a hair that is 17 centimeters long, and your hair grows about 12 centimeters each year. Let H(t) be the length, in centimeters, of that hair t ye

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Question 1146742: When you are 18 years old you have a hair that is 17 centimeters long, 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) Find a formula that gives H as a linear function of t.
H = ___________ *I found this answer to be 12t+17, which was correct. Now I need help with part B.
(b) How long will it take for the hair to reach a length of 117 centimeters? (Round your answer to two decimal places.)
______________ yr

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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you are 18 years old you have a hair that is 17 centimeters long, 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.
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t, time since age of 18;
t=0, H=17, or point (t,H) of (0,17).

Basic Model y=mx%2Bb, more specific as H=mt%2B17 to fit your description. Note, the vertical axis intercept was described.

Slope m was described as m=12 centimeters per year.

highlight%28H%28t%29=12t%2B17%29

(b)
Question tells you H(t)=117. Solve for t.