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A house painter has found that the number of jobs that he has each year is decreasing with respect to the number of years
A house painter has found that the number of jobs that he has each year is decreasing with respect to the number of years he has been in business. The number of jobs he has each year can be modeled as j(x) = 104.85 .jobs X where x is the number of years since 2004. The painter has kept records of the average amount he was paid for each job. His income per job is presented in the table. Average Income per Job Year Income (dollars) 2004 430 2005 559 2006 727 2007 945 2008 1228 2009 1597 2010 2075 (a) Fill in the blanks to complete an exponential model for average income per job, p, with input x aligned to years since 2004. (Remember to paste the unrounded function model into your calculator before reporting the answer with all numerical values rounded to three decimal places.) P(x) = 430 (1.3)* dollars per job gives the average amount the painter was paid per job ---Select--- 0 x 6 (b) The equation for the painter's annual income is t(x) ---Select--- dollars. (c) Using the unrounded models above, what was the painter's income in 2010? (Remember to avoid intermediate rounding.) Round your answer to two decimal places. $ Using the unrounded models above, how rapidly was the painter's income changing in 2010? (Round your answer to two decimal places.) per year
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