/*! 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} Q. 121 The relationship between Celsius... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q. 121 (page 43)

The relationship between Celsius (掳C) and Fahrenheit (掳F) degrees of measuring temperature is linear. Find a linear equation relating 掳C and 掳F if 0掳C corresponds to 32掳F and 100掳C corresponds to 212掳F. Use the equation to find the Celsius measure of 70掳F.

Short Answer

Expert verified

Part (a) The linear equation relating 掳C and 掳F is: F=95C+32

Part (b) The Celsius measure of 70掳F is: 21.1掳C

Step by step solution

01

Part (a) Step 1. Given information 

The relationship between Celsius (掳C) and Fahrenheit (掳F) degrees of measuring temperature is linear. 0掳C corresponds to 32掳F and 100掳C corresponds to 212掳F.

02

Part (a) Step 2. Finding the linear equation relating Celsius (°C) and Fahrenheit (°F)

Linear equation in slope-intercept form is: y=mx+b

For the given problem, it becomes: F=mC+b

Slope, m=y2-y1x2-x1

m=212-32100-0

m=180100

m=95

F-intercept, b=32

Substituting the values of slope and F-intercept in the linear equation, we get: F=95C+32

03

Part (b) Step 1. Using the linear equation to find the Celsius measure of 70°F 

We have, F=95C+32

Put F=70in the above equation

70=95C+32

95C=70-32

C=59脳38

C=1909

C=21.1

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

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

x2-3x-28=0

Which of the following equations might have the graph shown? (More than one answer is possible.)

(a)2x+3y=6(b)2x-3y=6(c)3x+4y=12(d)x-y=1(e)x-y=-1(f)y=-2x-1(g)y=-12x+10(h)y=x+4

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

2x+13+16=3x

The figure shows the graph of two perpendicular lines. Which of the following pairs of equations might have such a graph?

(a)y-2x=2y+2x=-1(b)y-2x=02y+x=0(c)2y-x=22y+x=-2(d)y-2x=2x+2y=-1(e)2x+y=-22y+x=-2

Graph the line containing the point P and having slope m.

P(1,3),m=-25
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Calculus

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.