Homework # 6 - Math 113

The problems on this homework must be done alone.  The Honor Code is in effect.

 Name:

 

  The following data represents the average cost of buying a 3 bedroom house in Lynchburg, Virginia

Year Cost
(Dollars)
1980 150,000
1990  180,000
2000 216,000
2010 259,200

1. Can the above data be modeled by a linear function, an exponential function, or neither?

a.  Linear function

b.  Exponential Function

c.  Neither

 

2.  If t is time in decades since 1980, and C is the cost in dollars of buying a 3 bedroom home in Lynchburg, VA, then which formula describes the data above?

a.  C = 3000t + 150000

b.  C = 30000t + 150000

c.  C = 150000 (1.2)t

d.  C = 150000 (1.02)t

e.  None of the above

 

3.  If log A = 2 and log B = 4, find log (AB).

a.  2

b.  4

c.  6

d.  8

e.  10

 

4.  In what year will the cost of such a home reach 300,000 dollars?

a.  2016.

b.  2018.

c.  2020.

d.  2022.

e.  2024.