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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- For 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_forwardFor the following exercises, use the graph in Figure 3, showing the profit, y, in thousands of dollars, of a company in a given year, x, where x represents years since 1980. In 2004, a school population was 1250. By 2012 the population had dropped to 875. Assume the population is changing linearly. a. How much did the population drop between the year 2004 and 2012? b. What is the average population decline per year? c. Find an equation for the population, P, of the school t years after 2004.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 x-and y-intercepts.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. 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_forwardFor 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_forward
- For 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 carrying capacity for the fish population? Justify your answer using the graph of P .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 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_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. 36. Find and interpret the y-intercept.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning