Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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- Use the table to determine if the pattern of change is linear or exponential. If the change is linear, identify and interpret the constant rate of change. If the change is exponential, identify the common ratio and interpret the percent change. Some patterns of change may not have an exact common ratio. In these cases, approximate the ratio. The air pressure in the cabin of fighter jet decreases as the plane ascends. Air Pressure in Altitude in 10,000 of feet pounds per square inch 1 2 3 4 10.200 6.375 3.984 2.490 O A. The change is linear. The constant rate of change is 0.0003825. B. The change is exponential. The common ratio is about 0.625. O C. The change is exponential. The common ratio is about 1.6. O D. The change is linear. The constant rate of change is about -3.825. Interpretation: O A. The air pressure decreases 0.625 pounds per square inch per 10,000 feet of altitude.arrow_forwarddates, fixes, and improvements, choose Check for Updates. Solve the following: #1: A city has been losing population. In the 1990 census it decreased by 15% from the 1980 census which showed that the city had 1.2 million people. If the percent of decline is expected to continue predict the population, create a table of values for the population in 1990, 2000, 2010 and 2020. What function would generate this table? Year 1990 2000 2010 2020 Population Pop = %3D #2: Another city showed the exact opposite, its population was increasing by 15%. If in 1980 it also had 1.2 million people create a table of values for the population in 1990,2000, 2010 and 2020. What function would generate this table?arrow_forwardFor the data given in the table below, tell whether the graph is likely to be best represented by a linear model, a quadratic model, or neither. Let x repesent the number of years since 2000. If there is a trend, predict the number of natural disasters in 2016. 2003 2005 Year Number of natural disasters (in thousands) 2000 114.7 2001 83.8 2002 82.3 64.2 2004 77.0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 66.5 2006 98.5 O A. The graph is best represented by a linear model. The linear equation is The number of natural disasters in 2016 is The number of natural disasters in 2016 is OB. The graph is best represented by a quadratic model. The quadratic equation is O c. Neither a linear nor a quadratic model can best represent the graph of this data.arrow_forward
- Identify which table of ordered pairs represents the exponential function.arrow_forwardFind a graph or bar chart that represents a real situation where you could use a linear or exponential equation to model the data. Identify the type of function that is being modeled and why you believe it to be this type. Estimate the equation for the function.arrow_forwardThe common ratio for the home prices in an Austin neighborhood is 1.08 every year for the past five years. Describe the pattern. Choose all that apply. Increasing Decreasing Linear Exponentialarrow_forward
- K The following table gives the monthly premiums for an insurance policy on people of various ages. a. Find an exponential function that models the monthly premium as a function of age. b. Find the quadratic function that is the best fit for the data. c. Graph each function with the data points to determine which model is the better fit. a. The exponential function that models the data is y= (Use integers or decimals rounded to the nearest thousandth as needed for any numbers in the expression.) Age 35 40 45 50 55 Monthly Premium (S) 120 151 219 334 532 Age 60 65 70 75 Full data set O Monthly Premium (S) 980 1789 3208 5729arrow_forwardDetermine whether the set of data shown below displays exponential behavior. Write yes or no. Explain why or why not. 2 1 2 3 5 10 15 20 y 9 27 81arrow_forwardThe table shows the number of adult softball teams since 1990, where x represents the year since 2000 and y represents the number of teams (in thousands). Make a scatter plot of the data and determine which type of model best fits the data. Year, x 0 1 2 3 4 Number of teams (in thousands) 163 155 149 143 119 linear quadratic exponential cubicarrow_forward
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