4. The Specific Solution First, to find an algebraic function that models our temperature vs. time data, it is clear that we need to write a piecewise function, one rule for the first (approximately) 35 seconds, and another for the last 35 (approximately) seconds. To find both of these rules, we will use the property of Newton's Law of Cooling. In order to find a model of the form F(t) = a . b' + c for the first part of our data, we need to find the constants a, b, and c. We can find the constants a and c from the chart above (or by "tracing" on our scatterplot). First we will find the constant c. According to Newton's Law of Cooling/Heating, and the data collected, the value of c would be approximately To find a, record the temperature when t = 0. (0 , ) Substitute this ordered pair, with the value of c, into our model F(t ) = a . b' + c , and solve for a. Show your work below. 8=