For the following exercises, use a graphing calculator and this scenario: the population of a fish farm in t years is modeled by the equation
Graph the
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College Algebra By Openstax
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- 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. If the function P is graphed, find and interpret the slope of the function.arrow_forwardFor the following exercises, write the equation for the standard function represented by each of the graphs below.arrow_forwardHector invests $10,000 at age 21. He hopes the investments will be worth when he turns 50. If the interest compounds continuously, approximately what rate of growth Will he need to achieve his goal?arrow_forward
- For the following exercises, consider this scenario: A town has an initial population of 75,000. It grows at a constantrate of 2,500 per year for 5 years. If the function P is graphed, find and interpret thex-and y-intercepts.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 2005 until 2010. In 2005, 12,025 people were afflicted. If the function C is graphed, find and interpret the slope of the function.arrow_forwardFor the following exercises, use a graphing calculator and this scenario: the population of a fish farm in t years is modeled by the equation P(t)=10001+9e0.6t . What is the initial population of fish?arrow_forward
- For the following exercises, use this scenario: A doctor prescribes 125 milligrams of a therapeutic drug that decays by about 30% each hour. Using the model found in the previous exercise, find f (10) and interpret the result. Round to the nearest hundredth.arrow_forwardFor the following exercises, use a graphing calculator and this scenario: the population of a fish farm in t years is modeled by the equation P(t)=10001+9e0.6t . What is the carrying capacity for the fish population? Justify your answer using the graph of P .arrow_forwardFor the following exercises, use the graph in Figure 1 showing the profit, y, in thousands of dollars, of a company in a given year, 1, where x represents years since 1980. Find and interpret the y-intercept.arrow_forward
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