Chapter 1.5, Problem 41E

During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate of 2 inches per hour for the next 6 hours, and at a rate of 0.5 inch per hour for the final hour. Write and graph a piecewise-defined function that gives the depth of the snow during the snowstorm. How many inches of snow accumulated from the storm?

The productivity, P, of a worker in a factory can be modeled by the function P(x) = - 2x? + 24x , wherex is the number of hours worked. How many hours have been worked when productivity is at 0 ? 12 C 24 72 https://login.achievementnetwork.org/tutti/tuttilms/tests/getTestPlay erFra 40E3A 1# P Type here to search F4 FO F10 F11 F12 %23 & 4 T Y U G H. K Alt Alt Ctrl

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When nutrients for a bacteria culture are exhausted, the bacteria culture goes through the death, or decay, phase of the bacteria growth curve. The following graph shows the number of living bacteria in the colony as a function of time, in hours, after the start of the decay phase. Determine the statement that correctly interprets the graph of the function.

The population in a city is modeled by the equation p (d) = 100, 000 · (1+0.3)“, where d is the number of decades since 1970. 1. What do the 0.3 and 100,000 mean in this situation? 2. Write an equation for the function f to represent the population y years after 1970. Show your reasoning. 3. Write an equation for the function g to represent the population c centuries after 1970. Show your reasoning.

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