SOLUTION: Does the table of values represent a linear or exponential model? Write a function to model the situation. X 0 1 2 3 4 5 6 Y 4 12 36 108 324 972 2916 Find the value o

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Does the table of values represent a linear or exponential model? Write a function to model the situation. X 0 1 2 3 4 5 6 Y 4 12 36 108 324 972 2916 Find the value o      Log On


   

Question 1075889: Does the table of values represent a linear or exponential model?
Write a function to model the situation.
X 0 1 2 3 4 5 6
Y 4 12 36 108 324 972 2916

Find the value of y when x = 12
Linear or Exponential?
When x = 12, y =
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

X 0 1 2 3 4 5 6
Y 4 12 36 108 324 972 2916
pattern:
Y
4+=1%2A4=3%5E0%2A4
12+=3%2A4=3%5E1%2A4
36+=9%2A4=3%5E2%2A4
108+=27%2A4=3%5E3%2A4
324+=81%2A4=3%5E4%2A4
972=+243%2A4=3%5E5%2A4
2916=729%2A4=3%5E6%2A4
so, we can write general formula as y=4%2A3%5Ex where x={0,1,2,3,4,5,6}


it is an exponential function
When x+=+12, y+=+4%2A3%5E12=>y+=+4%2A531441=>y=2125764