Question: Name: Instructions: Use algebraic techniques to solve problems, unless otherwise instructed. Show the calculations leading to your answers (except basic algebra, arithmetic), when there

Name: Instructions: Use algebraic techniques to solve problems, unless otherwise instructed. Show the calculations leading to your answers (except basic algebra, arithmetic), when there is work to show. Simplify and circle your final answers. 1. (18 pts.) In the vicinity of a bonfire, the temperature 7 (in C) at a distance x meters from the center of the fire is described by T(x) = 500,000 x+400 (a) What is the average rate of change of 7 between 0 and 10 meters? Also, what is the interpretation of this average rate of change? Use correct units in your interpretation. (b) What is the average rate of change of T between 10 and 20 meters? Also, what is the interpretation of this average rate of change? Use correct units in your interpretation. (c) What is the equation of the secant line through (10, T(10)) and (20, T(20))? Write the answer in slope

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