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CalculusQ&A LibraryA 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 modeledj(x) = 104.55 jobsXwhere 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 JobIncome (dollars)Year2004430200555920067272007945200812282009159720102075(a) Find 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 theanswer with all numerical values rounded to three decimal places.)p(x) 430.07(1.300)*dollars per job gives the average amount the painter was paid per job x years after 2004, 0 s x s 6(b) The equation for the painter's annual income is tx) = j(x)p(x)dollars.(c) What was the painter's income in 2010? (Remember to avoid intermediate rounding.) Round your answer to two decimal places.36171.96How rapidly was the painter's income changing in 2010? (Round your answer to two decimal places.)$237.73Xper yearQuestion

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