Question

For the data set shown by the table,
a. Create a scatter plot for the data. (You do not need to submit the scatter plot)

b. Use the scatter plot to determine whether an exponential function or a logarithmic function is
the best choice for modeling the data.

Number of Homes Built in a Town by Year

years

1985
1991
1994
1997
2002

number of home

12
91
145
192
224

Answer 1

well, I can not graph it very well but if exponential then
y = Ae^kx
x = year - 1985
12 = A e^0 = A(1) = A
so y = 12 e^kx
in 1994, x = 9 years
y = 12 e^9k = 145
e^9k = 145/12 = 12
9 k = ln 12 = 2.48
k = .276
now in 2002 we would get
x = 17
then we would get
y = 12 e^(17*.276)
y = 12 e^4.69
y = 1311 whoops, the data shows 224
not much of a fit
now try
ln fit and see if it is better

Answer 2

You can do the rest here , Thank you by the way !