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

question 1

Multiple Choice

Find the exponential model that $y = a e ^ { b x }$ fits the points shown in the table. $\begin{array} { | l | l | l | } \hline x & 0 & 4 \\\hline y & 15 & 3 \\\hline\end{array}$

• A) \(y = 15 e ^ { 05024 x }\)
• B) \(y = \frac { 1 } { 15 } e ^ { - 0.6024 x }\)
• C) \(y = 15 e ^ { - 0.4024 x }\)
• D) \(y = - \frac { 1 } { 15 } e ^ { 0.4024 x }\)
• E) \(y = - \frac { 1 } { 15 } e ^ { - 0.4024 x }\)

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Definitions:

Cognitive Ability Test (CogAT)

A standardized test designed to measure students' reasoning abilities in the areas of verbal, quantitative, and non-verbal (or spatial) reasoning.

Standard Error of the Estimate

A statistical measure that indicates the accuracy with which a sample represents a population.

GPA

Grade Point Average, a standardized measure of academic achievement within a specific period, calculated by dividing the total amount of grade points earned by the total amount of credit hours attempted.

Norm Referencing

A method of scoring in which test scores are compared to a group of other scores called the norm group.