Find the Exponential Model $y = a e ^ { b x }$

question 108

Multiple Choice

Find the exponential model $y = a e ^ { b x }$ that fits the points shown in the table below. Round parameters to the nearest thousandth.
$\begin{array}{|l|l|l|}\hline x & -2 & 0 \\\hline y & 48 & 3 \\\hline\end{array}$

• A) \(y = 3 e ^ { - 1.386 x }\)
• B) \(y = - 1.386 e ^ { - 3 x }\)
• C) \(y = - 3 e ^ { 1.386 x }\)
• D) \(y = 3 e ^ { 1.386 x }\)
• E) \(y = - 1.386 e ^ { 3 x }\)

---

Definitions:

Ventral Respiratory Group

The ventral respiratory group is a cluster of neurons in the medulla oblongata of the brain responsible for generating the basic rhythm of breathing and controlling involuntary respiratory patterns.

Eupnea

Normal, good, unlabored ventilation, often refers to the normal breathing at rest.

Inspirations

The act of inhaling or drawing air into the lungs as part of breathing.

Expirations

The process of exhaling air out of the lungs; a crucial component of breathing and gas exchange in the respiratory system.