Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
6th Edition
ISBN: 9781418300203
Author: Prentice Hall
Publisher: Prentice Hall
Question
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Chapter 0.1, Problem 39E
To determine

To determine the cost of a burger and the cost of an order of fries.

Expert Solution & Answer
Check Mark

Answer to Problem 39E

The cost of a burger is $4.28 and that of an order of fries is $2.34 .

Explanation of Solution

Given:

Given that 5 burgers and 4 orders of fries cost $30.76 and that 8 burgers and 6 orders of fries cost $48.28 .

Concept Used:

Method of substitution in the case of linear equations involving two variables:

Given a system of linear equations in two variables:

  a1x+b1y=c1a2x+b2y=c2 .

The method of substitution employs solving one of the equations, say a1x+b1y=c1 , to find an algebraic expression for one of its variables, say x .

Now, this expression of x is substituted in the other equation a2x+b2y=c2 and then solved to find the value of y .

The value of y is now substituted in either a1x+b1y=c1 or a2x+b2y=c2 to find the value of x .

Now, the value of x and that of y are recorded to be the solution of the system of equations.

Calculation:

Suppose that x denotes the cost of a burger and that y denotes the cost of an order of fries in dollars.

Since 5 burgers and 4 orders of fries cost $30.76 it follows that:

  5x+4y=30.76 .

Again, since 8 burgers and 6 orders of fries cost $48.28 , it follows that:

  8x+6y=48.28 .

Now, the problem is to solve the system of equations 5x+4y=30.768x+6y=48.28 for x and y .

Solve the system of equations:

Consider the first equation 5x+4y=30.76 .

Isolate y on the left side of the equation 5x+4y=30.76 :

  5x+4y=30.764y=30.765xy=30.765x4 .

Substitute y=30.765x4 in the second equation 8x+6y=48.28 and solve for x :

  8x+6y=48.288x+630.765x4=48.288x+630.76465x4=48.288x654x=48.28630.7648152x=2.140.5x=2.14x=2.140.5x=4.28 .

Thus, it is found that:

  x=4.28 .

Substitute x=4.28 in the second equation 8x+6y=48.28 and solve for y :

  8x+6y=48.2884.28+6y=48.2834.24+6y=48.286y=48.2834.246y=14.04y=14.046y=2.34 .

Thus, it is found that:

  y=2.34 .

Thus, the solution of the system of equations 5x+4y=30.768x+6y=48.28 :

  x=4.28 and y=2.34 .

That is, the cost of a burger is $4.28 and that of an order of fries is $2.34 .

Conclusion:

The cost of a burger is $4.28 and that of an order of fries is $2.34 .

Chapter 0 Solutions

Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020

Ch. 0.1 - Prob. 1ECh. 0.1 - Prob. 2ECh. 0.1 - Prob. 3ECh. 0.1 - Prob. 4ECh. 0.1 - Prob. 5ECh. 0.1 - Prob. 6ECh. 0.1 - Prob. 7ECh. 0.1 - Prob. 8ECh. 0.1 - Prob. 9ECh. 0.1 - Prob. 10ECh. 0.1 - Prob. 11ECh. 0.1 - Prob. 12ECh. 0.1 - Prob. 13ECh. 0.1 - Prob. 14ECh. 0.1 - Prob. 15ECh. 0.1 - Prob. 16ECh. 0.1 - Prob. 17ECh. 0.1 - Prob. 18ECh. 0.1 - Prob. 19ECh. 0.1 - Prob. 20ECh. 0.1 - Prob. 21ECh. 0.1 - Prob. 22ECh. 0.1 - Prob. 23ECh. 0.1 - Prob. 24ECh. 0.1 - Prob. 25ECh. 0.1 - Prob. 26ECh. 0.1 - Prob. 27ECh. 0.1 - Prob. 28ECh. 0.1 - Prob. 29ECh. 0.1 - Prob. 30ECh. 0.1 - Prob. 31ECh. 0.1 - Prob. 32ECh. 0.1 - Prob. 33ECh. 0.1 - Prob. 34ECh. 0.1 - Prob. 35ECh. 0.1 - Prob. 36ECh. 0.1 - Prob. 37ECh. 0.1 - Prob. 38ECh. 0.1 - Prob. 39ECh. 0.1 - Prob. 40ECh. 0.1 - Prob. 41ECh. 0.1 - Prob. 42ECh. 0.1 - Prob. 43ECh. 0.1 - Prob. 44ECh. 0.1 - Prob. 45ECh. 0.1 - Prob. 46ECh. 0.1 - Prob. 47ECh. 0.1 - Prob. 48ECh. 0.1 - Prob. 49ECh. 0.1 - Prob. 50ECh. 0.1 - Prob. 51ECh. 0.1 - Prob. 52ECh. 0.1 - Prob. 53ECh. 0.1 - Prob. 54ECh. 0.1 - Prob. 55ECh. 0.1 - Prob. 56ECh. 0.1 - Prob. 57ECh. 0.1 - Prob. 58ECh. 0.2 - Prob. 1QRCh. 0.2 - Prob. 2QRCh. 0.2 - Prob. 3QRCh. 0.2 - Prob. 4QRCh. 0.2 - Prob. 5QRCh. 0.2 - Prob. 6QRCh. 0.2 - Prob. 7QRCh. 0.2 - Prob. 8QRCh. 0.2 - Prob. 9QRCh. 0.2 - Prob. 10QRCh. 0.2 - Prob. 11QRCh. 0.2 - Prob. 12QRCh. 0.2 - Prob. 1ECh. 0.2 - Prob. 2ECh. 0.2 - Prob. 3ECh. 0.2 - Prob. 4ECh. 0.2 - Prob. 5ECh. 0.2 - Prob. 6ECh. 0.2 - Prob. 7ECh. 0.2 - Prob. 8ECh. 0.2 - Prob. 9ECh. 0.2 - Prob. 10ECh. 0.2 - Prob. 11ECh. 0.2 - Prob. 12ECh. 0.2 - Prob. 13ECh. 0.2 - Prob. 14ECh. 0.2 - Prob. 15ECh. 0.2 - Prob. 16ECh. 0.2 - Prob. 17ECh. 0.2 - Prob. 18ECh. 0.2 - Prob. 19ECh. 0.2 - Prob. 20ECh. 0.2 - Prob. 21ECh. 0.2 - Prob. 22ECh. 0.2 - Prob. 23ECh. 0.2 - Prob. 24ECh. 0.2 - Prob. 25ECh. 0.2 - Prob. 26ECh. 0.2 - Prob. 27ECh. 0.2 - Prob. 28ECh. 0.2 - Prob. 29ECh. 0.2 - Prob. 30ECh. 0.2 - Prob. 31ECh. 0.2 - Prob. 32ECh. 0.2 - Prob. 33ECh. 0.2 - Prob. 34ECh. 0.2 - Prob. 35ECh. 0.2 - Prob. 36ECh. 0.2 - Prob. 37ECh. 0.2 - Prob. 38ECh. 0.2 - Prob. 39ECh. 0.2 - Prob. 40ECh. 0.2 - Prob. 41ECh. 0.2 - Prob. 42ECh. 0.2 - Prob. 43ECh. 0.2 - Prob. 44ECh. 0.2 - Prob. 45ECh. 0.2 - Prob. 46ECh. 0.2 - Prob. 47ECh. 0.2 - Prob. 48ECh. 0.2 - Prob. 49ECh. 0.2 - Prob. 50ECh. 0.2 - Prob. 51ECh. 0.2 - Prob. 52ECh. 0.2 - Prob. 53ECh. 0.2 - Prob. 54ECh. 0.2 - Prob. 55ECh. 0.2 - Prob. 56ECh. 0.2 - Prob. 57ECh. 0.2 - Prob. 58ECh. 0.2 - Prob. 59ECh. 0.2 - Prob. 60ECh. 0.2 - Prob. 61ECh. 0.2 - Prob. 62ECh. 0.2 - Prob. 63ECh. 0.2 - Prob. 64ECh. 0.2 - Prob. 65ECh. 0.2 - Prob. 66ECh. 0.2 - Prob. 67ECh. 0.2 - Prob. 68ECh. 0.2 - Prob. 69ECh. 0.2 - Prob. 70ECh. 0.2 - Prob. 71ECh. 0.2 - Prob. 72ECh. 0.3 - Prob. 1QRCh. 0.3 - Prob. 2QRCh. 0.3 - Prob. 3QRCh. 0.3 - Prob. 4QRCh. 0.3 - Prob. 5QRCh. 0.3 - Prob. 6QRCh. 0.3 - Prob. 7QRCh. 0.3 - Prob. 8QRCh. 0.3 - Prob. 9QRCh. 0.3 - Prob. 10QRCh. 0.3 - Prob. 1ECh. 0.3 - Prob. 2ECh. 0.3 - Prob. 3ECh. 0.3 - Prob. 4ECh. 0.3 - Prob. 5ECh. 0.3 - Prob. 6ECh. 0.3 - Prob. 7ECh. 0.3 - Prob. 8ECh. 0.3 - Prob. 9ECh. 0.3 - Prob. 10ECh. 0.3 - Prob. 11ECh. 0.3 - Prob. 12ECh. 0.3 - Prob. 13ECh. 0.3 - Prob. 14ECh. 0.3 - Prob. 15ECh. 0.3 - Prob. 16ECh. 0.3 - Prob. 17ECh. 0.3 - Prob. 18ECh. 0.3 - Prob. 19ECh. 0.3 - Prob. 20ECh. 0.3 - Prob. 21ECh. 0.3 - Prob. 22ECh. 0.3 - Prob. 23ECh. 0.3 - Prob. 24ECh. 0.3 - Prob. 25ECh. 0.3 - Prob. 26ECh. 0.3 - Prob. 27ECh. 0.3 - Prob. 28ECh. 0.3 - Prob. 29ECh. 0.3 - Prob. 30ECh. 0.3 - Prob. 31ECh. 0.3 - Prob. 32ECh. 0.3 - Prob. 33ECh. 0.3 - Prob. 34ECh. 0.3 - Prob. 35ECh. 0.3 - Prob. 36ECh. 0.3 - Prob. 37ECh. 0.3 - Prob. 38ECh. 0.3 - Prob. 39ECh. 0.3 - Prob. 40ECh. 0.3 - Prob. 41ECh. 0.3 - Prob. 42ECh. 0.3 - Prob. 43ECh. 0.3 - Prob. 44ECh. 0.3 - Prob. 45ECh. 0.3 - Prob. 46ECh. 0.3 - Prob. 47ECh. 0.3 - Prob. 48ECh. 0.3 - Prob. 49ECh. 0.3 - Prob. 1QQCh. 0.3 - Prob. 2QQCh. 0.3 - Prob. 3QQCh. 0.3 - Prob. 4QQCh. 0.4 - Prob. 1QRCh. 0.4 - Prob. 2QRCh. 0.4 - Prob. 3QRCh. 0.4 - Prob. 4QRCh. 0.4 - Prob. 5QRCh. 0.4 - Prob. 6QRCh. 0.4 - Prob. 7QRCh. 0.4 - Prob. 8QRCh. 0.4 - Prob. 9QRCh. 0.4 - Prob. 10QRCh. 0.4 - Prob. 1ECh. 0.4 - Prob. 2ECh. 0.4 - Prob. 3ECh. 0.4 - Prob. 4ECh. 0.4 - Prob. 5ECh. 0.4 - Prob. 6ECh. 0.4 - Prob. 7ECh. 0.4 - Prob. 8ECh. 0.4 - Prob. 9ECh. 0.4 - Prob. 10ECh. 0.4 - Prob. 11ECh. 0.4 - Prob. 12ECh. 0.4 - Prob. 13ECh. 0.4 - Prob. 14ECh. 0.4 - Prob. 15ECh. 0.4 - Prob. 16ECh. 0.4 - Prob. 17ECh. 0.4 - Prob. 18ECh. 0.4 - Prob. 19ECh. 0.4 - Prob. 20ECh. 0.4 - Prob. 21ECh. 0.4 - Prob. 22ECh. 0.4 - Prob. 23ECh. 0.4 - Prob. 24ECh. 0.4 - Prob. 25ECh. 0.4 - Prob. 26ECh. 0.4 - Prob. 27ECh. 0.4 - Prob. 28ECh. 0.4 - Prob. 29ECh. 0.4 - Prob. 30ECh. 0.4 - Prob. 31ECh. 0.4 - Prob. 32ECh. 0.4 - Prob. 33ECh. 0.4 - Prob. 34ECh. 0.4 - Prob. 35ECh. 0.4 - Prob. 36ECh. 0.4 - Prob. 37ECh. 0.4 - Prob. 38ECh. 0.4 - Prob. 39ECh. 0.4 - Prob. 40ECh. 0.4 - Prob. 41ECh. 0.4 - Prob. 42ECh. 0.4 - Prob. 43ECh. 0.4 - Prob. 44ECh. 0.4 - Prob. 45ECh. 0.4 - Prob. 46ECh. 0.4 - Prob. 47ECh. 0.4 - Prob. 48ECh. 0.5 - Prob. 1QRCh. 0.5 - Prob. 2QRCh. 0.5 - Prob. 3QRCh. 0.5 - Prob. 4QRCh. 0.5 - Prob. 5QRCh. 0.5 - Prob. 6QRCh. 0.5 - Prob. 7QRCh. 0.5 - Prob. 8QRCh. 0.5 - Prob. 9QRCh. 0.5 - Prob. 10QRCh. 0.5 - Prob. 1ECh. 0.5 - Prob. 2ECh. 0.5 - Prob. 3ECh. 0.5 - Prob. 4ECh. 0.5 - Prob. 5ECh. 0.5 - Prob. 6ECh. 0.5 - Prob. 7ECh. 0.5 - Prob. 8ECh. 0.5 - Prob. 9ECh. 0.5 - Prob. 10ECh. 0.5 - Prob. 11ECh. 0.5 - Prob. 12ECh. 0.5 - Prob. 13ECh. 0.5 - Prob. 14ECh. 0.5 - Prob. 15ECh. 0.5 - Prob. 16ECh. 0.5 - Prob. 17ECh. 0.5 - Prob. 18ECh. 0.5 - Prob. 19ECh. 0.5 - Prob. 20ECh. 0.5 - Prob. 21ECh. 0.5 - Prob. 22ECh. 0.5 - Prob. 23ECh. 0.5 - Prob. 24ECh. 0.5 - Prob. 25ECh. 0.5 - Prob. 26ECh. 0.5 - Prob. 27ECh. 0.5 - Prob. 28ECh. 0.5 - Prob. 29ECh. 0.5 - Prob. 30ECh. 0.5 - Prob. 31ECh. 0.5 - Prob. 32ECh. 0.5 - Prob. 33ECh. 0.5 - Prob. 34ECh. 0.5 - Prob. 35ECh. 0.5 - Prob. 36ECh. 0.5 - Prob. 37ECh. 0.5 - Prob. 38ECh. 0.5 - Prob. 39ECh. 0.5 - Prob. 40ECh. 0.5 - Prob. 41ECh. 0.5 - Prob. 42ECh. 0.5 - Prob. 43ECh. 0.5 - Prob. 44ECh. 0.5 - Prob. 45ECh. 0.5 - Prob. 46ECh. 0.5 - Prob. 47ECh. 0.5 - Prob. 48ECh. 0.5 - Prob. 49ECh. 0.5 - Prob. 50ECh. 0.5 - Prob. 51ECh. 0.5 - Prob. 52ECh. 0.5 - Prob. 53ECh. 0.5 - Prob. 54ECh. 0.5 - Prob. 55ECh. 0.5 - Prob. 56ECh. 0.5 - Prob. 57ECh. 0.5 - Prob. 58ECh. 0.5 - Prob. 59ECh. 0.5 - Prob. 60ECh. 0.5 - Prob. 61ECh. 0.5 - Prob. 62ECh. 0.6 - Prob. 1QRCh. 0.6 - Prob. 2QRCh. 0.6 - Prob. 3QRCh. 0.6 - Prob. 4QRCh. 0.6 - Prob. 5QRCh. 0.6 - Prob. 6QRCh. 0.6 - Prob. 7QRCh. 0.6 - Prob. 8QRCh. 0.6 - Prob. 9QRCh. 0.6 - Prob. 10QRCh. 0.6 - Prob. 1ECh. 0.6 - Prob. 2ECh. 0.6 - Prob. 3ECh. 0.6 - Prob. 4ECh. 0.6 - Prob. 5ECh. 0.6 - Prob. 6ECh. 0.6 - Prob. 7ECh. 0.6 - Prob. 8ECh. 0.6 - Prob. 9ECh. 0.6 - Prob. 10ECh. 0.6 - Prob. 11ECh. 0.6 - Prob. 12ECh. 0.6 - Prob. 13ECh. 0.6 - Prob. 14ECh. 0.6 - Prob. 15ECh. 0.6 - Prob. 16ECh. 0.6 - Prob. 17ECh. 0.6 - Prob. 18ECh. 0.6 - Prob. 19ECh. 0.6 - Prob. 20ECh. 0.6 - Prob. 21ECh. 0.6 - Prob. 22ECh. 0.6 - Prob. 23ECh. 0.6 - Prob. 24ECh. 0.6 - Prob. 25ECh. 0.6 - Prob. 26ECh. 0.6 - Prob. 27ECh. 0.6 - Prob. 28ECh. 0.6 - Prob. 29ECh. 0.6 - Prob. 30ECh. 0.6 - Prob. 31ECh. 0.6 - Prob. 32ECh. 0.6 - Prob. 33ECh. 0.6 - Prob. 34ECh. 0.6 - Prob. 35ECh. 0.6 - Prob. 36ECh. 0.6 - Prob. 37ECh. 0.6 - Prob. 38ECh. 0.6 - Prob. 39ECh. 0.6 - Prob. 40ECh. 0.6 - Prob. 41ECh. 0.6 - Prob. 42ECh. 0.6 - Prob. 43ECh. 0.6 - Prob. 44ECh. 0.6 - Prob. 45ECh. 0.6 - Prob. 46ECh. 0.6 - Prob. 47ECh. 0.6 - Prob. 48ECh. 0.6 - Prob. 49ECh. 0.6 - Prob. 50ECh. 0.6 - Prob. 51ECh. 0.6 - Prob. 52ECh. 0.6 - Prob. 53ECh. 0.6 - Prob. 54ECh. 0.6 - Prob. 55ECh. 0.6 - Prob. 56ECh. 0.6 - Prob. 57ECh. 0.6 - Prob. 58ECh. 0.6 - Prob. 59ECh. 0.6 - Prob. 60ECh. 0.6 - Prob. 61ECh. 0.6 - Prob. 62ECh. 0.6 - Prob. 1QQCh. 0.6 - Prob. 2QQCh. 0.6 - Prob. 3QQCh. 0.6 - Prob. 4QQCh. 0 - Prob. 1RWDTCh. 0 - Prob. 2RWDTCh. 0 - Prob. 3RWDTCh. 0 - Prob. 4RWDTCh. 0 - Prob. 5RWDTCh. 0 - Prob. 6RWDTCh. 0 - Prob. 7RWDTCh. 0 - Prob. 8RWDTCh. 0 - Prob. 9RWDTCh. 0 - Prob. 10RWDTCh. 0 - Prob. 1RECh. 0 - Prob. 2RECh. 0 - Prob. 3RECh. 0 - Prob. 4RECh. 0 - Prob. 5RECh. 0 - Prob. 6RECh. 0 - Prob. 7RECh. 0 - Prob. 8RECh. 0 - Prob. 9RECh. 0 - Prob. 10RECh. 0 - Prob. 11RECh. 0 - Prob. 12RECh. 0 - Prob. 13RECh. 0 - Prob. 14RECh. 0 - Prob. 15RECh. 0 - Prob. 16RECh. 0 - Prob. 17RECh. 0 - Prob. 18RECh. 0 - Prob. 19RECh. 0 - Prob. 20RECh. 0 - Prob. 21RECh. 0 - Prob. 22RECh. 0 - Prob. 23RECh. 0 - Prob. 24RECh. 0 - Prob. 25RECh. 0 - Prob. 26RECh. 0 - Prob. 27RECh. 0 - Prob. 28RECh. 0 - Prob. 29RECh. 0 - Prob. 30RECh. 0 - Prob. 31RECh. 0 - Prob. 32RECh. 0 - Prob. 33RECh. 0 - Prob. 34RECh. 0 - Prob. 35RECh. 0 - Prob. 36RECh. 0 - Prob. 37RECh. 0 - Prob. 38RECh. 0 - Prob. 39RECh. 0 - Prob. 40RECh. 0 - Prob. 41RECh. 0 - Prob. 42RECh. 0 - Prob. 43RECh. 0 - Prob. 44RECh. 0 - Prob. 45RECh. 0 - Prob. 46RECh. 0 - Prob. 47RECh. 0 - Prob. 48RECh. 0 - Prob. 49RECh. 0 - Prob. 50RECh. 0 - Prob. 51RECh. 0 - Prob. 52RECh. 0 - Prob. 53RECh. 0 - Prob. 54RECh. 0 - Prob. 55RECh. 0 - Prob. 56RECh. 0 - Prob. 57RECh. 0 - Prob. 58RECh. 0 - Prob. 59RECh. 0 - Prob. 60RECh. 0 - Prob. 61RECh. 0 - Prob. 62RECh. 0 - Prob. 63RECh. 0 - Prob. 64RECh. 0 - Prob. 65RECh. 0 - Prob. 66RECh. 0 - Prob. 67RECh. 0 - Prob. 68EPCh. 0 - Prob. 69EPCh. 0 - Prob. 70EP
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