SOLUTION: Write an equation,in terms of x and y, for the functions depicted by the table.The ordered pairs from the table would be the following (1,3)(2,9)(3,27)(4,81)(5,243). I tried findin

Algebra ->  Functions -> SOLUTION: Write an equation,in terms of x and y, for the functions depicted by the table.The ordered pairs from the table would be the following (1,3)(2,9)(3,27)(4,81)(5,243). I tried findin      Log On


   

Question 220213: Write an equation,in terms of x and y, for the functions depicted by the table.The ordered pairs from the table would be the following (1,3)(2,9)(3,27)(4,81)(5,243). I tried finding slope but then when I plotted the ordered pairs on a graph I realized it wasn't linar but a curve. So I'm lost. I can see a relation in the output numbers (they seem to be multiplied by 3 (3x3=9x3=27x3=81x3=243) but I can't figure out how you plug the inputs of (1,2,3,4,5,)into a function equation to get to get those output numbers. Please help I'm stummped!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Take note how for (2,9) the x coordinate is x=2 and the y coordinate is y=9=3%2A3=3%5E2

Similarly, for (3,27) the x coordinate is x=3 and the y coordinate is y=27=3%2A3%2A3=3%5E3

Starting to see a pattern? What's happening here is each y value is simply 3 to the power of the corresponding x value.

So if given x=5, I would expect: y=3%5E5=243 which fits the given ordered pair (3,243).


So in general, any 'y' can be found through the equation y=3%5Ex