Even though housing prices have been declining in many parts of the country, in Lara's neighborhood, they have been increasing steadily since Lara bought her home in 2006. Lara purchased her home in 2006 for $120,000, and it steadily increases its value by $4100 a year. Let V represent the market value (in dollars) of her home; x, the length of time she has lived there (in years). Complete parts a through d below. a. Complete the following table. YearxV, Market value2006$2011$2014$ b. Write a symbolic rule that expresses V in terms of x. c. Determine the expected value of her home in 2016. (Simplify your answer) d. In which year is the value of her home expected to reach $177,400?

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Even though housing prices have been declining in many parts of the country, in Lara&#039;s neighborhood, they have been increasing steadily since Lara bought her home in 2006. Lara purchased her home in 2006 for $120,000, and it steadily increases its value by $4100 a year. Let V represent the market value (in dollars) of her home; x, the length of time she has lived there (in years). Complete parts a through d below. a. Complete the following table. YearxV, Market value2006$2011$2014$ b. Write a symbolic rule that expresses V in terms of x. c. Determine the expected value of her home in 2016. (Simplify your answer) d. In which year is the value of her home expected to reach $177,400?

2abehn · Accepted Answer

Step 1 We will first consider the given data, Lara purchased home in 2006 for $120000 and it steadily increased its value by $4100 a year. a. The first objective is to complete the table. Step 2 In 2006, x=0 and market value, V=120000 In 2011, x=5, thus, market value is as follows, V=120000+5×4100 =140500 In 2014, x=8, thus, market value is as follows, V=120000+8×4100 =152800 Step 3 Hence, the table is shown below, YearxV200601200002011514050020148152800 Step 4 b. Next, objective is to write a symbolic rule that expresses value in terms of x. Let V represent the market value of your home, x is the length of time she have lived there. Thus, the symbolic rule is as follows, V=120000+4100x Step 5 c. Next, objective is to find the market value in year 2016. In 2016, the value of x=10, The market value is given by, V=120000+4100(10) =120000+410000 =530000 Step 6 d. Next, objective is to find in which year the value of her home will reach $177400. Here, V=177400 and V=120000+4100x, Thus, we get, 177400=120000+4100x 4100x=57400 x=14 Thus, the year is 2005+14=2020 Hence, in the year of 2020 the value of her home will reach 177400.

Even though housing prices have been declining in many parts of the country, in

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