A county landfill has a maximum capacity of about 121,000,000 tons of trash. The amount in the landfill on a given day since 1996 is modeled by the function T(x) = 64,000 + 2x. Here x is the number of days since January 1, 1996, and T(x) is measured in thousands of tons. After how many days will the landfill reach maximum capacity? Answer this question in two ways: (a) Graphically (by graphing the equation and estimating the time from the graph) WebAssign Plot T 140 000| 140 000| 120000 120000 100 000 100 000 80 000아 80 000 60 000 60 000 40 000 40000아 20 000 20 000 5000 10000 15 000 20 000 25 000 30 000 5000 10000 15 000 20 000 25 000 30 000 T 140000 | 140 000 120000 120000 100 000 100 000 80 000 80 000 60 000 60 000아 40 000 40 000 20 000 20 000

Using Social Security Administration data for selected years from 2012 and projected to 2050, the U.S. consumer price index (CPI) can be modeled by the function y = 0.0682x² + 1.76x + 96.0 where x is the number of years past 2010 and y is the CPI in dollars. With a reference of 100 in 2012, a CPI of 120 in another year means that goods and services costing $100 in 2012 are expected to cost $120 in that other year (a) Use a table to determine a viewing window that shows a complete graph of this function for the years from 2010 to 2050. 2050 corresponds to an x value of which corresponds to a y value of The y maximum should be -Select-than this function value (b) Graph the function. y 300 250 200 150 100 50 0 y 300 250 200 150 100 50 X = Need Help? 51 F Partly sunny 10 10 20 Read It 20 30 30 T X 40 40 y 300 250 200 150 100 50 0 0 10 (c) Use the graph to estimate when the CPI is predicted to reach 250. (Round your answer to the nearest whole year.) years 20 30 Q Search 40 y 300 250 200…

In 2011 online sales were $192 billion, and in 2015 they were $264 billion. (a) Find a linear function S that models these data, where S is the sales in billions of dollars and x is the year. Write S(x) in slope-intercept form. (b) Interpret the slope of the graph of S. (c) Determine when online sales were $246 billion. ..... (a) Write S(x) in slope-intercept form. S(x) = %3D (b) Interpret the slope of the graph of S. Choose the correct answer below. O A. Sales decreased by $18 billion in next 4 years. B. Sales decreased, on average, by $18 billion/yr. C. Sales increased, on average, by $18 billion/yr. D. Sales increased by $18 billion in next 4 years. (c) Online sales were $246 billion in the year