6. Let A(t) be the amount of caffeine (in mg) in the bloodstream t hours after a cup of coffee has been consumed (see figure). dA a. What does A'(t)= yA represent? dt 100 80 y = A(t) 60 40 b. Use the graph to estimate the values of A'(7) and A'(15), rounding answers to the nearest whole number. Include units in your answers and interpret meaning of these values in the context of the function. 20 0. 8. 12 16 Time (hours) 4 20 Amount of caffeine (mg)

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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.