**Which situation can be modeled by a linear function?**A. The population of bacteria triples every day.B. The value of a cell phone depreciates at a rate of 3.5% each year.C. An amusement park allows 50 people to enter every 30 minutes.D. A baseball tournament eliminates half of the teams after each round. Explanation for answers:- **Option A** describes an exponential growth situation because the population of bacteria triples (multiplies by 3) each day. - **Option B** illustrates an exponential decay situation because the value of the cell phone decreases by a percentage each year. - **Option C** describes a linear situation because a constant number of people (50) enter the amusement park every 30 minutes. - **Option D** represents an exponential decay situation because the number of teams is halved after each round. So, the correct answer is **C**, as it is the only situation that can be modeled by a linear function.

To determine which of the given situations can be modelled as a linear function.

Which situation can be modeled by a linear function? A. The population of bacteria triples every day. B. The value of a cell phone depreciates at a rate of 3.5% each year. C. An amusement park allows 50 people to enter every 30 minutes. D. A baseball tournament eliminates half of the teams after each round.

Which situation can be modeled by a linear function? A. The population of bacteria triples every day. B. The value of a cell phone depreciates at a rate of 3.5% each year. C. An amusement park allows 50 people to enter every 30 minutes. D. A baseball tournament eliminates half of the teams after each round.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

**Which situation can be modeled by a linear function?**

A. The population of bacteria triples every day.

B. The value of a cell phone depreciates at a rate of 3.5% each year.

C. An amusement park allows 50 people to enter every 30 minutes.

D. A baseball tournament eliminates half of the teams after each round.

Explanation for answers:

- **Option A** describes an exponential growth situation because the population of bacteria triples (multiplies by 3) each day.
- **Option B** illustrates an exponential decay situation because the value of the cell phone decreases by a percentage each year.
- **Option C** describes a linear situation because a constant number of people (50) enter the amusement park every 30 minutes.
- **Option D** represents an exponential decay situation because the number of teams is halved after each round.

So, the correct answer is **C**, as it is the only situation that can be modeled by a linear function.

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