Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 3.1, Problem 12CYU

(a)

To determine

Graph the equation by using x and y − intercept.

(a)

Expert Solution
Check Mark

Answer to Problem 12CYU

x and y intercepts are x= 12 and y = 6

Explanation of Solution

Given:

The equation: 5x+10y=60

Concept Used:

The  x -intercepts are where the graph crosses the  x -axis, and the  y -intercepts are where the graph crosses the  y -axis.

Then, algebraically,

  • an  x -intercept is a point on the graph where  y  is zero, and
  • a  y -intercept is a point on the graph where  x  is zero.

More specifically,

  • an  x -intercept is a point in the equation where the  y -value is zero, and
  • a  y -intercept is a point in the equation where the  x -value is zero.

Calculation:

The equation: 5x+10y=60

Find the x − intercept, plug in y = 0 in the equation.

  5x+10y=605x+10  ·  0=60  [    plug  in  y  =0  ]5x=605x5  =  605   [  Divide  each  side  by  5  ]x=12 x − Intercept is 12

Find the y − intercept, plug in x = 0 in the equation

  5x+10y=605 ·  0  +10 y=60  [    plug  in  x  =0  ]10y=6010y10  =  6010   [  Divide  each  side  by  10  ]y=6 y − Intercept is 6

Graph the line 5x+10y=60 with x and y intercepts points are (12, 0) and (0, 6)

  Algebra 1, Chapter 3.1, Problem 12CYU

Thus,x and y intercepts are x = 12 and y =6

(b)

To determine

Describe what these x and y intercept value mean.

(b)

Expert Solution
Check Mark

Answer to Problem 12CYU

x − Intercept is 12. This means the number of children is 12.

y − Intercept is 10. This means the number of adult is 10.

Explanation of Solution

Given:

The equation: 5x+10y=60

Concept Used:

x − Intercept is 12 and y − intercept is 10.

x − Intercept is 12. This means the number of children is 12.

y − Intercept is 10. This means the number of adult is 10.

Thus, x − Intercept is 12. This means the number of children is 12 and y − Intercept is 10. This means the number of adult is 10.

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Chapter 3.1, Problem 11CYU
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Chapter 3.1, Problem 13PPS

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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