When converting time units from decades to years, the base (1.3) must be taken to the 10th root.
Alternatively, she can divide the number of years since 1970 to convert t to decades.
A. given
[tex]f(t)=40000(1.3)^t[/tex]
domain all real numbers [0, 4]
Range=[40000,40000(1.3^4)]=[40000,114244]
B. for year 1995, it is 2.5 decades since 1970, so value of t is 2.5.
C. value of house in 1995
[tex]= 40000(1.3^{2.5})=77075.86[/tex] to the nearest cent.
