Concept explainers
For the following exercises, use this scenario: The population P of a koi pond over x months is modeled by the
Graph the population model to show the population over a span of 3 years.
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College Algebra By Openstax
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- Use the result from the previous exercise to graph the logistic model P(t)=201+4e0.5t along with its inverse on the same axis. What are the intercepts and asymptotes of each function?arrow_forwardFor the following exercises, consider this scenario: The number of people afflicted with the common cold in the winter months steadily decreased by 205 each year from 2.005 until 2010. In 2005, 12,025 people were afflicted. Find the linear function that models the number of people in?icted with the common cold, C, as a function of the year, t.arrow_forwardRefer to the previous exercise. Suppose the lightmeter on a camera indicates an EI of 2 , and thedesired exposure time is 16 seconds. What should thef-stop setting be?arrow_forward
- For the following exercises, consider this scenario: A town has an initial population of 75,000. It grows at a constant rate of 2,500 per year for 5 years. What is the output in the year 12 years from the onset of the model?arrow_forwardFor the following exercises, use the graph in Figure 8, which shows the profit, y, in thousands of dollars, of a companyin a given year, t, where trepresents the number of years since 1980. 35. Find the linear function y, where y depends on t, the number of years since 1980.arrow_forwardFind the average rate of change of f(x)=x2+2x8 on the interval [5,a] in simplest forms in terms ofa.arrow_forward
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