1.2 Mathematical Models

Question 1

how do you create a linear equation from a data table?

Answer 1

1.find the pattern in the x and y values

2. divide the change in y values by the change in x values to find the slope
3. plug slope into the equation y=mx+b
4. use a point from the table and plus it into the slope y intercept form equation to solve for b
5. make the equation using the slope and b value

Question 2

how do you to create an equation of an exponential from a data table?

Answer 2

1. find out what you would multiply by if you moved in the downward direction (divide the second number by the first)
2. if the quotients are all different, find the mean of the quotients
3. use the formula y=ab^x

a=the first y value in table

b=mean of the quotients

Question 3

linear vs exponential function

Answer 3

in linear relationships the y values are added by the same number

in exponential relationships the y values are multiplied by the same number