# Thread: need help modeling data

1. ## need help modeling data

I need help on a modeling project in which i have to create an function that models a list of data given the directions are as follows

Below is a numeric reresentation of a mending broken bone over time t, where M measures the percent mended and t is time in months. The goal of this project is to develop a symbolic representation of the funtion that describes the percent mended at time t; that is, a mathematical model of a mending bone. You may use any arithmetic combination of funtions studied in this chapter (current chapters logarithms) or previous chapters to develop your symbolic representation of the function.

t: 0, 1, 2, 3, 4, 5, 6, 8
M:0,30,48,60,70,78,85,95

please get back to me on this asap also wondering what a reasonable problem domain for this data is

2. Originally Posted by needinhelp
I need help on a modeling project in which i have to create an function that models a list of data given the directions are as follows

Below is a numeric reresentation of a mending broken bone over time t, where M measures the percent mended and t is time in months. The goal of this project is to develop a symbolic representation of the funtion that describes the percent mended at time t; that is, a mathematical model of a mending bone. You may use any arithmetic combination of funtions studied in this chapter (current chapters logarithms) or previous chapters to develop your symbolic representation of the function.

t: 0, 1, 2, 3, 4, 5, 6, 8
M:0,30,48,60,70,78,85,95

please get back to me on this asap also wondering what a reasonable problem domain for this data is
I graphed your data and it looks logarithmic, you should consider the model

$M = A\times ln(t-B)+C$

I have attached a sheet that will be helpful.

3. $M = 100(1 - e^{-kt})$

where M is the percentage and k is a positive constant

4. ## constant?

any idea what that constant might be?

5. Originally Posted by needinhelp
any idea what that constant might be?
yes ... but that's what you need to find. experiment a bit with your graphing calculator.

6. ## calculator

ok how would i go about inputing that equation in my calculator

7. let me make a correction ...

$M = 100(1 - e^{-kt})$

where M is the percentage as a whole number and k is a positive constant.