Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN: 9781680331141

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Equations and inequalities describe the relationship between two mathematical expressions.

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Question

Chapter 3.4, Problem 24E

(a)

To determine

To graph: The equation 10x+12y=300 and also interpret the intercepts.

(a)

Expert Solution

Explanation of Solution

Given

The equation is 10x+12y=300 .

Find the coordinates of the equation 10x+12y=300 to graph the equation.

Substitute 0 for x in the equation 10x+12y=300 to obtain the value of y .

10(0)+12y=30012y=300y=30012=25

Now, substitute 10 for x in the equation 10x+12y=300 to obtain the value of y .

10(10)+12y=30012y=300−100y=20012=16.16

Substitute 0 for y in the equation 10x+12y=300 to obtain the value of x .

10x+12(0)=30010x=300x=30010=30

Therefore, the coordinates of the equation are (0,25),(30,0),(10,16.16) .

Draw the graph of the equation 10x+12y=300 as shown in Figure 1.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015, Chapter 3.4, Problem 24E

The x -intercepts are the points where the value of y=0 and the y -intercepts are the points where the value of x=0 .

Therefore, it can be observed from Figure 1 that the x -interpret is (30,0) and the y - intercept is (0,25) .

Interpretation:

The graph does not pass through the origin.

(b)

To determine

To find: The number of long-sleeved shirts to order if twelve students order short sleeved shirts.

(b)

Expert Solution

Explanation of Solution

Given:

The equation is 10x+12y=300 and twelve students demand for short sleeved shirts.

Calculation:

It is given that twelve students demand for short sleeved shirts.

And it is also given that x is the number of short sleeved shirts and y is the number of long sleeved shirts.

There is need to find the value of y for when x=12 .

Substitute 0 for y in the equation 10x+12y=300 to obtain the value of x .

10(12)+12y=30012y=300−120y=18012=15

Therefore, there are 15 long sleeved shirts need to order.

Conclusion:

Thus, the person can order 15 long sleeved shirts .

Chapter 3.4, Problem 23E

Chapter 3.4, Problem 25E

Chapter 3 Solutions

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

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To graph: The equation 10 x + 12 y = 300 and also interpret the intercepts.

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To graph: The equation 10x+12y=300 and also interpret the intercepts.

Explanation of Solution

To find: The number of long-sleeved shirts to order if twelve students order short sleeved shirts.

Explanation of Solution

Chapter 3 Solutions