Median Sale Price The median sale price p (in thousands of dollars) of an existing one-family home in the United States from 2002 through 2014 (see figure) can be approximated by the model.
Where t represents the year, with
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- Population The population P (in thousands) of Tallahassee, Florida, from 2000 through 2014 can be modeled byp=150.9ekt, where t represents the year, with t=0 corresponding to 2000. In 2005, the population of Tallahassee was about 163,075. (a) Find the value of k. Is the population increasing or decreasing? Explain. (b) Use the model to predict the populations of Tallahassee in 2020 and 2025. Are the results reasonable? Explain. (c) According to the model, during what year will the population reach 200,000?arrow_forwardPopulation The population P (in millions) of Italy from 2003 through 2015 can be approximated by the model P=57.59e0.0051t, where t represents the year, with t=3 corresponding to 2003. (a) According to the model, is the population of Italy increasing or decreasing? Explain. (b) Find the populations of Italy in 2003 and 2015. (c) Use the model to predict the populations of Italy in 2020 and 2025.arrow_forwardIQ Scores The IQ scores for a sample of students at a small college roughly follow the normal distribution y=0.0266ex1002/450,70x115, where x is the IQ score. (a) Use a graphing utility to graph the function. (b) From the graph in part (a), estimate the average IQ score of a student.arrow_forward
- Population The population P (in millions) of Italy from 2003 through 2015 can be approximated by the model P=57.59e0.0051t, where t represents the year, with t=3 corresponding to 2003. (Source: U.S. Census Bureau) (a) According to the model, is the population of Italy increasing or decreasing? Explain. (b) Find the populations of Italy in 2003 and 2015. (c) Use the model to predict the populations of Italy in 2020 and 2025.arrow_forwardEducation The amount of time (in hours per week) a student utilizes a math-tutoring center roughly follows the normal distribution y=0.7979ex5.42/0.5,4x7 where x is the number of hours. (a) Use a graphing utility to graph the function. (b) From the graph in part (a), estimate the average number of hours per week a student uses the tutoring center.arrow_forwardChemists’ Wages The mean hourly wage W (in dollars) of chemists in the United States from 2000 through 2014 can be modeled by W=0.903t+26.08,0t14 where t represents the year, with t=0 corresponding to 2000. (a) According to the model, when was the mean hourly wage at least $30, but no more than $32? (b) Use the model to predict when the mean hourly wage will exceed $45.arrow_forward
- Fill in the blanks. Statisticians use a measure called the ________ of the ________ ________ to find a model that approximates a set of data most accurately.arrow_forwardRunning Speed A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runner’s time at the each of each lap, obtaining the data in the following table. (a) What was the man’s average speed (rate) between 68 s and 152 s? (b) What was the man’s average speed between 263 s and 412 s? (c) Calculate the man’s speed for cadi lap, Is he slowing down, speeding up, or neither?arrow_forward
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