/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 36 A formula in the form \(y=m x+b\... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 36

A formula in the form \(y=m x+b\) models the average retail price, \(y,\) of a new car \(x\) years after \(2000 .\) Would you expect \(m\) to be positive, negative, or zero? Explain your answer.

Short Answer

Expert verified
The expected value for \(m\) would be positive. This is because as the years after 2000, represented by \(x\), increase, the average retail price of a new car, represented by \(y\), would also be expected to increase. This suggests a positive slope for the equation \(y=mx+b\).

Step by step solution

01

Understanding the Problem and Variables

Given the equation \(y=mx+b\) , where \(y\) is the average retail price of a new car, \(x\) is the number of years after 2000, \(m\) is the slope of the line and \(b\) is the y-intercept. It can be seen that the problem asks for the understanding of whether the slope \(m\) would be positive, negative or zero. This depends on the trend of car prices over time.
02

Analyzing the Trend

Generally, the price of a new car will increase over time due to factors such as inflation, increased production costs, and advancements in technology. This would mean that as \(x\), years after 2000, increases, \(y\), the average retail price of a new car, would also increase, implying a positive relationship between \(x\) and \(y\).
03

Determining the Slope

The slope \(m\) in the equation \(y=mx+b\) signifies the rate of change of \(y\) with respect to \(x\). Considering the previously determined trend of increasing car prices over time, this means the slope would be positive. As \(x\) increases, \(y\) also increases, implying a positive slope

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Determine whether each statement makes sense or does not make sense, and explain your reasoning. My graph is decreasing on \((-\infty, a)\) and increasing on \((a, \infty)\) so \(f(a)\) must be a relative maximum.

In your own words, describe how to find the distance between two points in the rectangular coordinate system.

Complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. $$x^{2}+y^{2}+6 x+2 y+6=0$$

Find and simplify the difference quotient $$\frac{f(x+h)-f(x)}{h}, h \neq 0$$for the given function. $$f(x)=\frac{1}{2 x}$$

Write the standard form of the equation of the circle with the given center and radius. $$x^{2}+(y-2)^{2}=4$$
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.