The table below shows the number of students at Wadesville High School with cell phones, y, over x years. Write an exponential equation that best models these data.

Year Cell users

2000 146
2001 183
2002 228
2003 285
2004 356
2005 446
2006 557

Question

The table below shows the number of students at Wadesville High School with cell phones, y, over x years. Write an exponential equation that best models these data.

Year        Cell users

2000       146
2001       183
2002       228
2003       285
2004       356
2005       446
2006       557

ganeshie8 · Answer

the function will look like below :

$y = 146(B)^{x}$

ganeshie8 · Answer

you need to find the base $B$

ganeshie8 · Answer

B = 183/146 ~ 1.25 = 5/4

ganeshie8 · Answer

does that make some sense ?

anonymous · Answer

Yes it does and thank you again for the help because I really needed it

ganeshie8 · Answer

np.. u wlc :)

ganeshie8 · Answer

so the required exponential function will be :
$y = 146(\frac{5}{4})^{x} $

ganeshie8 · Answer

146 is the start value
5/4 is the base 
and x is the number of years elapsed from 2000