Question

2015 > chapter 6: 6.5 - 6.7 quiz > quiz 6
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

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

Step2: Perform exponential regression

Use the exponential regression function (\(ExpReg\)) on the calculator. The general form of an exponential model is \(y = ab^{x}\).
When we perform the exponential regression on the given data, we get \(a\approx2.37\) and \(b\approx1.89\)

Answer:

\(y\approx2.37\times1.89^{x}\)