Concept explainers
For the following exercises, use this scenario: The population P of an endangered species habitat for wolves is modeled by the
How many wolves will the habitat have after 3 years?
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College Algebra
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- For 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. Find a reasonable domain and range for the function P.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_forward
- For 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 . How many koi will the pond have after one and a half years?arrow_forwardFor the following exercises, determine whether the table could represent a function that is linear, exponential, orneither. If it appears to be exponential, find a function that passes through the points.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, 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, use this scenario: The population P of a koi pond over x months is modeled by the function P(x)=681+16e0.28x . What was the initial population of koi?arrow_forwardFor the following exercises, use this scenario: The population P of an endangered species habitat for wolves is modeled by the function P(x)=5581+54.8e0.462x , where x is given in years. Use the intersect feature to approximate the number of years it will take before the population of the habitat reaches half its carrying capacity.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. Find a reasonable domain and range for the function C.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_forwardUsing Figure 7, solve f(x)=1 .arrow_forward