# Pre - CALCULUS

posted by Ciara

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

1. Damon

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

2. Ciara

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

## Similar Questions

1. ### SCATTER PLOT

this is gonna sound really stupid... but i'm making a scatter plot and i'm measuring height and distance (disatnce is affected by height) which one do i put on x axis?
2. ### EDUCATIONAL TECHNOLOGY help me asap

what is a trend line on a scatter plot? a visual representation of the relationship between two variables a line connecting only the highest and lowest values on a graph<<<<<<<< a line connecting all of the
3. ### Pre-Calc

The attendance A (in millions) at NCAA womens college basketball games for the years 1994 through 2000 is shown in the table, where t represents the year, with t=4 corresponding to 1994. year t attendance a 4 4.557 5 4.962 6 5.234 …
4. ### Math

What is a trend line on a scatter plot? A. a visual representation of the relationship between two variables. B. a line connecting only the highest and lowest values on a graph. C. A line connecting all the data points on a scatter
5. ### Math

Jared drew a scatter plot comparing the number of hours worked and the amount of money earned over the course of a week. He graphed the ordered pairs(number of hours, amount paid)for each day worked. Which of the three scatter plots …
6. ### Comm Tech

1.)what is the purpose of a scatter plot?
7. ### Technology

Hi there! Does anyone know how I can insert a scatter plot into a cell on the table?
8. ### Pre-Calc

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 …
9. ### Statistics/Math

I have population data for the last 50 years (total population for a country), that I need to make linear. In its original it has a positive relationship (looking at a scatter plot) but it is not linear. There are three smaller periods …
10. ### math

Abe creates a scatter plot showing studentsâ€™ ages on the x-axis and their heights on the y axis. Which type of trend will the scatter plot show?

More Similar Questions