Consider the graph of r(t), the rate of change in the price of a technology stock, during the first 55 days of trading of 2003. Using the information present below, fill in the accumulation function values in the accompanying table.

Question

Quizplus · Accepted Answer

To find the accumulation function values, we need to integrate the rate of change function, r(t). Using the graph, we can see that r(t) is constant at a value of 4 for the first 10 days, so the accumulation function for those days is just 4t. From day 10 to day 20, r(t) is a linear function with a slope of 1, so the accumulation function is given by the area of a trapezoid: (1/2)(4+8)(20-10) = 30. From day 20 to day 40, r(t) is a linear function with a slope of -1, so the accumulation function is given by the area of a triangle: (1/2)(8+2)(40-20) = 60. Finally, from day 40 to day 55, r(t) is constant at a value of -2, so the accumulation function is -2t + 120. Therefore, the correct answer is (A).

Consider the Graph of R(t), the Rate of Change in the Price