Question

The monthly income in dollars of a commissioned car salesman is given by the function $I(n)=550 n+1,250,$ where $n$ represents the number of cars sold in the month. Use the function to determine the salesman's monthly income if he sells 3 cars this month. What is his income if he does not sell any cars in a month?

Name: Problem 76, Chapter 3: Elementary Algebra
Uploaded: 2022-01-26T23:52:21-08:00
Duration: 56 s
Channel: James Kiss
Description: The monthly income in dollars of a commissioned car salesman is given by the function I(n)=550 n+1,250, where n represents the number of cars sold in the month. Use the function to determine the salesman's monthly income if he sells 3 cars this month. What is his income if he does not sell any cars in a month?

   The monthly income in dollars of a commissioned car salesman is given by the function $I(n)=550 n+1,250,$ where $n$ represents the number of cars sold in the month. Use the function to determine the salesman's monthly income if he sells 3 cars this month. What is his income if he does not sell any cars in a month?

Elementary Algebra

John Redden 1st Edition

Chapter 3, Problem 76

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Solved by Expert James Kiss

01/26/2022

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Step 1: We are given the function $I(n)=550n+1250$, where $n$ is the number of cars sold in a month. Show more…

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The monthly income in dollars of a commissioned car salesman is given by the function $I(n)=550 n+1,250,$ where $n$ represents the number of cars sold in the month. Use the function to determine the salesman's monthly income if he sells 3 cars this month. What is his income if he does not sell any cars in a month?

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Key Concepts

Linear Function

A linear function is a mathematical expression of the form f(x) = mx + b, where m represents the constant rate of change (or slope) and b represents the initial value (or y-intercept). This type of function models situations where there is a consistent change in the output with respect to the input, making it useful for representing relationships such as fixed commissions plus a base amount.

Function Evaluation

Function evaluation involves substituting a specific value into a function to calculate the corresponding output. This concept is crucial when determining the output of a function under given conditions, allowing one to apply the function model to real-world scenarios by analyzing how changes in the input affect the resulting output.

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