(05.01)
neil has been running a tutoring business since 2005. he charges a monthly fee for weekly tutoring sessions and a phone line. each
year, he has increased his fee by the same amount. the table shows what neil charged each customer for two given years of his
business:
year annual tutoring fee
2005
$1100
2008
$1430
a. what is the rate of change and initial value for neil's business? how do you know?
b. write an equation in slope intercept form to represent the fees that neil charges each year. (10 points)

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

a) 0,0; 1,1; and 2,2

step-by-step explanation:

these have the exact same coordinates, thus they are the correct function.

answer:

at time x=0 we have 1000, at time x=1 we have 2000, at time x=2 we have 4000.  

so that's an initial value of 1000 and a ratio of 2,

y = 1000 (2^x)

hope this !