Remember the Potato Remember our potato. The potato was at room temperature (70°) when it was popped into a 400° oven. We know that F(30) = 251 and F'(30) = 3.85. The potato's temperature F(t) is given in degrees Write the point-slope form of the equation of the tangent line to the function F at t= 30. Then sketch the Fahrenheit at time t given in minutes since the potato tangent line on the graph. went in the oven. The function F(t) is graphed below. Create the linearization L(t) by solving for y in the 350 point-slope equation of the tangent line. 300 C. 250 200 150 100 Use your linearization to approximate the temperature of the potato at t= 37 minutes. 80 100

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