Question

use a graphing calculator to find an exponential model for the data below. round the values in your model to the nearest hundredth.

the exponential model is ( y approx square ).

Explanation:

Step1: Input data into calculator

Enter the \(x\)-values (\(1,2,3,4,5\)) and \(y\)-values (\(4,8,15,26,47\)) into the graphing calculator.

Step2: Use exponential regression function

On the calculator, select the exponential regression option (\(\text{ExpReg}\)).
The general form of an exponential model is \(y = ab^{x}\). After running the regression, we get \(a\approx1.98\) and \(b\approx1.99\).

Answer:

\(y\approx1.98\times1.99^{x}\)