Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Chapter 3, Problem 1PT

a.

To determine

The independent and dependent variables.

a.

Expert Solution
Check Mark

Answer to Problem 1PT

  Independent Variable: CDependent Variable: K

Explanation of Solution

Given:

The equation to convert Celsius temperature C to Kelvin temperature K is shown in below figure:

  Algebra 1, Chapter 3, Problem 1PT , additional homework tip 1

Concept Used:

The intercepts of a line are the points where it intersects the horizontal and vertical axis. x -intercept if the point where the line intersect the x -axis and y -intercept is the point where the line intersects the y -axis.

Calculation:

In the given relation K=C+273 , it is clear that the value of Kelvin Temperature is depending on the value of the Celsius temperature.

So, Celsius temperature is the independent variable and the Kelvin temperature is the dependent variable.

Thus, C is the independent variable and K is the dependent variable.

b.

To determine

The C - and K -intercepts.

b.

Expert Solution
Check Mark

Answer to Problem 1PT

  C−intercept: (−273,0)C−intercept: (0, 273)

Explanation of Solution

Given:

The equation to convert Celsius temperature C to Kelvin temperature K is shown in below figure:

  Algebra 1, Chapter 3, Problem 1PT , additional homework tip 2

Concept Used:

The intercepts of a line are the points where it intersects the horizontal and vertical axis. x -intercept if the point where the line intersect the x -axis and y -intercept is the point where the line intersects the y -axis.

Calculation:

From the given graph is clear that the line intersects the horizontal line ( C -axis) at the point (−273,0) , so the C -intercept is (−273,0) . It means when the Celsius temperature is −273 , then the Kelvin temperature is 0.

Also, from the graph it is clear that the line intersects the vertical axis ( K -axis) at the point (0,273) . So, it means when the Celsius temperature is 0, then the Kelvin temperature is 273.

Thus, C -intercept is (−273,0) and the K -intercept is (0,273) .

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Chapter 3 Solutions

Algebra 1

Ch. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 58PPSCh. 3.1 - Prob. 60HPCh. 3.1 - Prob. 68STPCh. 3.1 - Prob. 1ACYPCh. 3.1 - Prob. 1BCYPCh. 3.1 - Prob. 2CYPCh. 3.1 - Prob. 3CYPCh. 3.1 - Prob. 4ACYPCh. 3.1 - Prob. 4BCYP
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