Chapter 7.7, Problem 10PPE

To determine

To identify the initial amount and growth factor of the exponential function $y=150\cdot {1.0894}^x$

Answer to Problem 10PPE

  $\begin{array}{l}\text{Initial}\text{amount}=150\\ \text{Growth}\text{factor}=1.0894\end{array}$

Explanation of Solution

Given:

  $y=150\cdot {1.0894}^x$

Calculation:

  $y=150\cdot {1.0894}^x$

Comparing with $y=a\cdot b^x$ , we get

  $a=150\&b=1.0894$

Therefore,

  $\begin{array}{l}\text{Initial}\text{amount}=a=150\\ \text{Growth}\text{factor}=b=1.0894\end{array}$