After discontinuing all advertising for a tool kit in 2010, the manufacturer noted that sales began to drop according to the model500,0001+0.2ewhere S represents the number of units sold and t represents the year, with t= 0 corresponding to 2010 (see figure). In 2014, 300,000 units were sold.S500 000400000300000200000100000"4 6 88 10 12(a) Use the graph to estimate sales (in units sold) in 2018. (Round your answer to the nearest whole number.)5-287273 X units sold(b) Complete the model by solving for k. (Round your answer to three decimal places.)k=(c) Use the model to estimate sales (in units sold) in 2018. (Round your answer to the nearest whole number)units sold5-Compare your results with that of part (a).O The algebraic result is significantly different from the graphical result.The algebraic result is similar to the graphical result.

Given modal is S = 500,0001 + 0.2 ekt -------(1) where t = 0 represent the…

Answered: After discontinuing all advertising for…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The following table shows the average yearly tuition and required fees, in dollars, charged by four-year American private universities in the school year beginning in the given year. Date Average tuition 2012 $27,870 2013 $29,004 2014 $30,138 2015 $31,272 2016 $32,406 (a) Show that these data can be modeled by a linear function. For each change of 1 year in time there is an increase of $ in tuition. Find its formula. (Let d be the date in terms of number of years since 2012 and T tuition in dollars.) T(d) = 27,870+1134d (b) Plot the data points and add the graph of the linear formula you found in part (a). (c) What prediction does this formula give for average tuition and fees at four-year American private universities for the academic year ending in 2018?$
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