A Study in a Small Town Showed That the Percent $P = 35 x ^ { 0.34 }$

question 148

Multiple Choice

A study in a small town showed that the percent of residents who have college degrees can be modeled by the function $P = 35 x ^ { 0.34 }$ where x is the number of years since 2010. Use numerical or graphical methods to find
When the model predicts that the percent will be 70.

• A) 2020
• B) 2018
• C) 2019
• D) 2017

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Definitions:

Exponential Random Variable

A type of continuous random variable that is used to model time until an event occurs, with a constant hazard rate.

Exponential Distribution

A continuous probability distribution that describes the times between events in a Poisson process, representing a constant hazard rate.

Density Function

A mathematical function that describes the distribution of a continuous random variable, indicating the probability of the variable falling within a particular range.

Exponentially Distributed

Pertaining to a statistical distribution characterized by a constant rate of decay or growth over time.