Find the exponential model of best fit for the points (−3,5),(1,12),(5,72),(7,137)-3,5,1,12,5,72,7,137. Explain how you got your answer. Round values to the nearest hundredth.
Exponential Growth. When X increases, Y increases. When X decreases, Y decreases.
Here is a graph:
According to desmos, the best fit line is \(y = 12.7288x + 24.678\), which you can round to \(y = 12.73x + 24.68\) or \(y = 13x + 25\) .
Hope this helps,
We need an exponential growth model, here
The function that ost cosely mdels the data is
f(x) = 11.7588 ( 1.4094 )^x