A vat of industrial waste, known colloquially as "Ooze", recently spilled into Turtle Pond. Professor Suluclac is sent to investigate the environmental damage. Let c(d) be the concentration of Ooze (in mg/L) at a depth of d meters below the surface in Turtle Pond. A portion of the graph of X = c(d) is shown below. 4 3 1 d 1 2 (a) What is the concentration of Ooze at the surface of Turtle Pond? (b) What is the average rate of change of the concentration of Turtle Pond over the interval from d = 1 to d = 3? Remember to include units. (c) On the domain 0 < d < 4, over what intervals in c'(d) positive? (d) Does it appear that c'(d) = 0 anywhere? If so, at what values for d? (e) Suppose c'(3) = A. Estimate the value of A, and, using your answer, give a practical interpre- tation of the equation c'(3) = A in the context of this problem. Remember to use a complete sentence and include units. 2.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.