Concept explainers
For the following exercises, use this scenario: The population P of an endangered species habitat for wolves is modeled by the
Graph the population model to show the population over a span of 10 years.
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Algebra and Trigonometry
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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. Find a reasonable domain and range for the function P.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 constant rate of 2,500 per year for 5 years. When will the output reached 100,000?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 x-and y-intercepts.arrow_forwardFor 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, 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_forward
- For 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_forwardFor the following exercises, use this scenario: The population P of a koi pond over x months is modeled by the function P(x)=681+16e0.28x . Use the intersect feature to approximate the number of months it will take before the population of the pond reaches half its carrying capacity.arrow_forwardFor the following exercises, determine whether the equation represents continuous growth, continuous decay, or neither. Explain. y=2.25(e)2tarrow_forward
- For the following exercises, solve the application problem. 48.The volume V of an ideal gas varies directly with thetemperature T and inversely with the pressure P.A cylinder contains oxygen at a temperature of310 degrees K and a pressure of 18 atmospheres in avolume of 120 liters. Find the pressure if the volumeis decreased to 100 liters and the temperature isincreased to 320 degrees K.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 this scenario: The population P of a koi pond over x months is modeled by the function P(x)=681+16e0.28x . Graph the population model to show the population over a span of 3 years.arrow_forward