Question

From the Chapter 3 opener, we have two functions to describe the percent of college students taking at least one online course. For both functions, $x$ is the number of years since 2000 and $y$ (or $f(x)$ or $g(x))$ is the percent of students taking at least one online course. $$f(x)=2.7 x+4.1 \text { or } g(x)=0.07 x^{2}+1.9 x+5.9$$ Find $f(9)$ and describe in words what this means.

Name: Problem 81, Chapter 3: Intermediate Algebra
Uploaded: 2020-07-18T06:28:38-08:00
Duration: 1 min 23 s
Channel: Suman Saurav Thakur
Description: From the Chapter 3 opener, we have two functions to describe the percent of college students taking at least one online course. For both functions, x is the number of years since 2000 and y (or f(x) or g(x)) is the percent of students taking at least one online course. f(x)=2.7 x+4.1 or g(x)=0.07 x^2+1.9 x+5.9 Find f(9) and describe in words what this means.

   From the Chapter 3 opener, we have two functions to describe the percent of college students taking at least one online course. For both functions, $x$ is the number of years since 2000 and $y$ (or $f(x)$ or $g(x))$ is the percent of students taking at least one online course.
$$f(x)=2.7 x+4.1 \text { or } g(x)=0.07 x^{2}+1.9 x+5.9$$
Find $f(9)$ and describe in words what this means.

Intermediate Algebra

Elayn Martin-Gay 6th Edition

Chapter 3, Problem 81

Instant Answer

Solved by Expert Suman Saurav Thakur

07/18/2020

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7x+4.1$ and we need to find the value of $f(9)$. Show more…

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From the Chapter 3 opener, we have two functions to describe the percent of college students taking at least one online course. For both functions, $x$ is the number of years since 2000 and $y$ (or $f(x)$ or $g(x))$ is the percent of students taking at least one online course. $$f(x)=2.7 x+4.1 \text { or } g(x)=0.07 x^{2}+1.9 x+5.9$$ Find $f(9)$ and describe in words what this means.

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Key Concepts

Function Evaluation

This concept involves substituting a specific value into a function to determine the output. In practice, it means replacing the variable with a given number and carrying out the computation to see what result the function provides for that input.

Linear Functions

A linear function, generally written in the form f(x) = mx + b, represents a constant rate of change where 'm' is the slope and 'b' is the initial value when x is zero. Such functions model relationships where the change between variables is constant, making it easy to predict outcomes over time.

Interpreting Function Output in Context

In real-world applications, the result of a function evaluation is interpreted as the value of the modeled quantity at a specific condition or time. For example, when a function models a percentage over years, evaluating the function at a given year tells you the specific percentage at that time.

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