Solve the Problem $\mathrm { f } ( \mathrm { x } ) = 19 + 2.5 \ln ( \mathrm { x } + 1 )$

question 172

Multiple Choice

Solve the problem.
-The long jump record, in feet, at a particular school can be modeled by $\mathrm { f } ( \mathrm { x } ) = 19 + 2.5 \ln ( \mathrm { x } + 1 )$ where $\mathrm { x }$ is the number of years since records began to be kept at the school. What is the record for the long jump 25 years after record started being kept? Round your answer to the nearest tenth.

• A) \(27.0\) feet
• B) \(26.9\) feet
• C) \(21.5\) feet
• D) \(27.1\) feet

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Definitions:

Standard Deviation

An indicator of the degree of spread or variability among a collection of numbers.

Variance

A measure of the dispersion of a set of data points around their mean; shows how much the data vary from the average.

Binomial Distribution

A probability distribution that summarizes the likelihood of a variable to take one of two independent values under a given number of iterations.

Distribution of X

Refers to the way values of the variable X are spread or distributed across possible outcomes, showing the frequency of each value.