SOLUTION: A 1 inch steak takes 12 minutes to cook. For each additional inch, 5 minutes is added. Find the equation for T.

Question 332811: A 1 inch steak takes 12 minutes to cook. For each additional inch, 5 minutes is added. Find the equation for T.
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
A 1 inch steak takes 12 minutes to cook. For each additional inch, 5 minutes is added. Find the equation for T.
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Let T=cook time, H=thickness of steak
you are given a point (H=1, T=12) and the rate of change, or slope 5min/in
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So use the point slope form of an linear equation, where T is the dependent and H is the independent
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using the point (1,12) and the slope =5
T-12 = 5*(H-1)
T = 5*H-5+12
T = 5*H+7
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this now gives you the linear relationship between Cook time (T) and steak thickness (H), knowing the thickness you can predict the cook time. Of course, you need to be careful when predicting, specially in ranges way outside the data used to derive the model
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