Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 6, Problem 13MCQ

a.

To determine

To define:The variables to represent the cost of a taco and the cost of a burrito.

a.

Expert Solution
Check Mark

Answer to Problem 13MCQ

The algebraic quantities x and y are variables that represent cost of one taco and cost of one burrito respectively.

Explanation of Solution

Given:

The cost of two orders at a restaurant is shown in table given below.

  Algebra 1, Chapter 6, Problem 13MCQ , additional homework tip 1

Concept used:

The variables are independent quantities.

Definition:

Suppose the cost of one taco is x and cost of one burrito is y.The algebraic quantities x and y are variables.

b.

To determine

To write:A system of equations to find the cost of a single taco and a single burrito.

b.

Expert Solution
Check Mark

Answer to Problem 13MCQ

A system of equations to find the cost of a single taco and a single burrito is

  3x+2y=23.35

  4x+y=19.80 .

Explanation of Solution

Given:

The data table in part (a)

Concept used:

According to the given conditions we connect the variables and given quantities.

Calculations:

Conclusion:

In order-1, the total cost of 3 tacos and 2 burritos is $23.35. The cost of one taco is x and that of burrito is y. So cost of 3 tacos is $3xand of 2 burritos is $2y.Therefore, the equation that connect the variable and given quantities is

  3x+2y=23.35.......... (1)

In order-2, the total cost of 4 tacos and 1burritos is $19.80. The cost of one taco is x and that of burrito is y. So cost of 3 tacos is $4xand of 2 burritos is $y.Therefore, the equation that connect the variable and given quantities is

  4x+y=19.80.......... (2)

Conclusion:

A system of equations to find the cost of a single taco and a single burrito is

  3x+2y=23.35

  4x+y=19.80 .

c.

To determine

To solve:The system of equations in obtained in part (a).

c.

Expert Solution
Check Mark

Answer to Problem 13MCQ

The solution of system of equations is x=3.25 and y=6.8 . The solution means that cost of one taco is $ 3.35 and the cost of one burrito is $6.80.

Explanation of Solution

Given:

The given system of equations is 3x+2y=23.35 , 4x+y=19.80 .

Method used:

We solve equations using graphing calculator.

Graph:

The graph of given system of equations 3x+2y=23.35 , 4x+y=19.80 is shown in Figure-1.

  Algebra 1, Chapter 6, Problem 13MCQ , additional homework tip 2

We see that lines 3x+2y=23.35 and 4x+y=19.80 intersect at point (3.25.6.8) , i.e., x=3.25y=6.8 is the solution of system of equations 3x+2y=23.35 , 4x+y=19.80 .

The solution means that cost of one taco is $ 3.35 and the cost of one burrito is $6.80.

Conclusion:

The solution of system of equations is x=3.25 and y=6.8 . The solution means that cost of one taco is $ 3.35 and the cost of one burrito is $6.80.

d.

To determine

To find:The amount to be paid by a customer to buy 2 taco and 2 burrito.

d.

Expert Solution
Check Mark

Answer to Problem 13MCQ

The amount to be paid by a customer to buy 2 taco and 2 burrito is $20.10 .

Explanation of Solution

Given:

The cost of one taco is $ 3.35 and the cost of one burrito is $6.80.

Formula used:

Cost of n items C = n× cost of one item.

Calculations:

The amount paid by customer to buy 2 tacos c1=2×$3.25=$6.50 .

The amount paid by customer to buy 2burritos c2=2×$6.80=$13.60 .

Therefore, the amount to be paid by a customer to buy 2 taco and 2 burrito is

  c1+c2=$6.50+$13.60=$20.10

Conclusion:

The amount to be paid by a customer to buy 2 taco and 2 burrito is $20.10 .

Previous
Chapter 6, Problem 12MCQ
Next
Chapter 6, Problem 14MCQ

Chapter 6 Solutions

Algebra 1

Ch. 6.1 - Prob. 1ACYPCh. 6.1 - Prob. 1BCYPCh. 6.1 - Prob. 2ACYPCh. 6.1 - Prob. 2BCYPCh. 6.1 - Prob. 3CYPCh. 6.1 - Prob. 1CYUCh. 6.1 - Prob. 2CYUCh. 6.1 - Prob. 3CYUCh. 6.1 - Prob. 4CYUCh. 6.1 - Prob. 5CYU
Ch. 6.1 - Prob. 6CYUCh. 6.1 - Prob. 7CYUCh. 6.1 - Prob. 8CYUCh. 6.1 - Prob. 9CYUCh. 6.1 - Prob. 10PPSCh. 6.1 - Prob. 11PPSCh. 6.1 - Prob. 12PPSCh. 6.1 - Prob. 13PPSCh. 6.1 - Prob. 14PPSCh. 6.1 - Prob. 15PPSCh. 6.1 - Prob. 16PPSCh. 6.1 - Prob. 17PPSCh. 6.1 - Prob. 18PPSCh. 6.1 - Prob. 19PPSCh. 6.1 - Prob. 20PPSCh. 6.1 - Prob. 21PPSCh. 6.1 - Prob. 22PPSCh. 6.1 - Prob. 23PPSCh. 6.1 - Prob. 24PPSCh. 6.1 - Prob. 25PPSCh. 6.1 - Prob. 26PPSCh. 6.1 - Prob. 27PPSCh. 6.1 - Prob. 28PPSCh. 6.1 - Prob. 29PPSCh. 6.1 - Prob. 30PPSCh. 6.1 - Prob. 31PPSCh. 6.1 - Prob. 32PPSCh. 6.1 - Prob. 33PPSCh. 6.1 - Prob. 34PPSCh. 6.1 - Prob. 35PPSCh. 6.1 - Prob. 36PPSCh. 6.1 - Prob. 37PPSCh. 6.1 - Prob. 38PPSCh. 6.1 - Prob. 39PPSCh. 6.1 - Prob. 40PPSCh. 6.1 - Prob. 41PPSCh. 6.1 - Prob. 42PPSCh. 6.1 - Prob. 43PPSCh. 6.1 - Prob. 44PPSCh. 6.1 - Prob. 45PPSCh. 6.1 - Prob. 46PPSCh. 6.1 - Prob. 47HPCh. 6.1 - Prob. 48HPCh. 6.1 - Prob. 49HPCh. 6.1 - Prob. 50HPCh. 6.1 - Prob. 51HPCh. 6.1 - Prob. 52HPCh. 6.1 - Prob. 53STPCh. 6.1 - Prob. 54STPCh. 6.1 - Prob. 55STPCh. 6.1 - Prob. 56STPCh. 6.1 - Prob. 57SRCh. 6.1 - Prob. 58SRCh. 6.1 - Prob. 59SRCh. 6.1 - Prob. 60SRCh. 6.1 - Prob. 61SRCh. 6.1 - Prob. 62SRCh. 6.1 - Prob. 63SRCh. 6.1 - Prob. 64SRCh. 6.1 - Prob. 65SRCh. 6.1 - Prob. 66SRCh. 6.1 - Prob. 67SRCh. 6.1 - Prob. 68SRCh. 6.1 - Prob. 69SCh. 6.1 - Prob. 70SCh. 6.1 - Prob. 71SCh. 6.1 - Prob. 72SCh. 6.1 - Prob. 73SCh. 6.1 - Prob. 74SCh. 6.1 - Prob. 75SCh. 6.1 - Prob. 76SCh. 6.2 - Prob. 1ACYPCh. 6.2 - Prob. 1BCYPCh. 6.2 - Prob. 2ACYPCh. 6.2 - Prob. 2BCYPCh. 6.2 - Prob. 3ACYPCh. 6.2 - Prob. 3BCYPCh. 6.2 - Prob. 4CYPCh. 6.2 - Prob. 1CYUCh. 6.2 - Prob. 2CYUCh. 6.2 - Prob. 3CYUCh. 6.2 - Prob. 4CYUCh. 6.2 - Prob. 5CYUCh. 6.2 - Prob. 6CYUCh. 6.2 - Prob. 7CYUCh. 6.2 - Prob. 8PPSCh. 6.2 - Prob. 9PPSCh. 6.2 - Prob. 10PPSCh. 6.2 - Prob. 11PPSCh. 6.2 - Prob. 12PPSCh. 6.2 - Prob. 13PPSCh. 6.2 - Prob. 14PPSCh. 6.2 - Prob. 15PPSCh. 6.2 - Prob. 16PPSCh. 6.2 - Prob. 17PPSCh. 6.2 - Prob. 18PPSCh. 6.2 - Prob. 19PPSCh. 6.2 - Prob. 20PPSCh. 6.2 - 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Prob. 50SCh. 6.4 - Prob. 51SCh. 6.4 - Prob. 52SCh. 6.4 - Prob. 53SCh. 6.4 - Prob. 54SCh. 6.5 - Prob. 1ACYPCh. 6.5 - Prob. 1BCYPCh. 6.5 - Prob. 1CCYPCh. 6.5 - Prob. 1DCYPCh. 6.5 - Prob. 2CYPCh. 6.5 - Prob. 1CYUCh. 6.5 - Prob. 2CYUCh. 6.5 - Prob. 3CYUCh. 6.5 - Prob. 4CYUCh. 6.5 - Prob. 5CYUCh. 6.5 - Prob. 6PPSCh. 6.5 - Prob. 7PPSCh. 6.5 - Prob. 8PPSCh. 6.5 - Prob. 9PPSCh. 6.5 - Prob. 10PPSCh. 6.5 - Prob. 11PPSCh. 6.5 - Prob. 12PPSCh. 6.5 - Prob. 13PPSCh. 6.5 - Prob. 14PPSCh. 6.5 - Prob. 15PPSCh. 6.5 - Prob. 16PPSCh. 6.5 - Prob. 17PPSCh. 6.5 - Prob. 18PPSCh. 6.5 - Prob. 19PPSCh. 6.5 - Prob. 20PPSCh. 6.5 - Prob. 21HPCh. 6.5 - Prob. 22HPCh. 6.5 - Prob. 23HPCh. 6.5 - Prob. 24HPCh. 6.5 - Prob. 25HPCh. 6.5 - Prob. 26HPCh. 6.5 - Prob. 27STPCh. 6.5 - Prob. 28STPCh. 6.5 - Prob. 29STPCh. 6.5 - Prob. 30STPCh. 6.5 - Prob. 31SRCh. 6.5 - Prob. 32SRCh. 6.5 - Prob. 33SRCh. 6.5 - Prob. 34SRCh. 6.5 - Prob. 35SRCh. 6.5 - Prob. 36SRCh. 6.5 - Prob. 37SRCh. 6.5 - Prob. 38SRCh. 6.5 - Prob. 39SCh. 6.5 - Prob. 40SCh. 6.5 - Prob. 41SCh. 6.5 - Prob. 42SCh. 6.5 - Prob. 43SCh. 6.5 - Prob. 44SCh. 6.6 - Prob. 1ACYPCh. 6.6 - Prob. 1BCYPCh. 6.6 - Prob. 3ACYPCh. 6.6 - Prob. 3BCYPCh. 6.6 - Prob. 4ACYPCh. 6.6 - Prob. 4BCYPCh. 6.6 - Prob. 5ACYPCh. 6.6 - Prob. 5BCYPCh. 6.6 - Prob. 1CYUCh. 6.6 - Prob. 2CYUCh. 6.6 - Prob. 3CYUCh. 6.6 - Prob. 4CYUCh. 6.6 - Prob. 5CYUCh. 6.6 - Prob. 6CYUCh. 6.6 - Prob. 7CYUCh. 6.6 - Prob. 8CYUCh. 6.6 - Prob. 9CYUCh. 6.6 - Prob. 10PPSCh. 6.6 - Prob. 11PPSCh. 6.6 - Prob. 12PPSCh. 6.6 - Prob. 13PPSCh. 6.6 - Prob. 14PPSCh. 6.6 - Prob. 15PPSCh. 6.6 - Prob. 16PPSCh. 6.6 - Prob. 17PPSCh. 6.6 - Prob. 18PPSCh. 6.6 - Prob. 19PPSCh. 6.6 - Prob. 20PPSCh. 6.6 - Prob. 21PPSCh. 6.6 - Prob. 22PPSCh. 6.6 - Prob. 23PPSCh. 6.6 - Prob. 24PPSCh. 6.6 - Prob. 26PPSCh. 6.6 - Prob. 27PPSCh. 6.6 - Prob. 28PPSCh. 6.6 - Prob. 29PPSCh. 6.6 - Prob. 30PPSCh. 6.6 - Prob. 31PPSCh. 6.6 - Prob. 32PPSCh. 6.6 - Prob. 33HPCh. 6.6 - Prob. 34HPCh. 6.6 - Prob. 35HPCh. 6.6 - Prob. 36HPCh. 6.6 - Prob. 37HPCh. 6.6 - Prob. 38HPCh. 6.6 - Prob. 39STPCh. 6.6 - Prob. 40STPCh. 6.6 - Prob. 41STPCh. 6.6 - Prob. 43SRCh. 6.6 - Prob. 44SRCh. 6.6 - Prob. 45SRCh. 6.6 - Prob. 46SRCh. 6.6 - Prob. 47SRCh. 6.6 - Prob. 48SRCh. 6.6 - Prob. 49SRCh. 6.6 - Prob. 50SRCh. 6.6 - Prob. 51SRCh. 6.6 - Prob. 52SCh. 6.6 - Prob. 53SCh. 6.6 - Prob. 54SCh. 6.6 - Prob. 55SCh. 6.6 - Prob. 56SCh. 6.6 - Prob. 57SCh. 6.6 - Prob. 2CYPCh. 6.6 - Prob. 25PPSCh. 6.6 - Prob. 42STPCh. 6.7 - Prob. 1ACYPCh. 6.7 - Prob. 1BCYPCh. 6.7 - Prob. 2ACYPCh. 6.7 - Prob. 2BCYPCh. 6.7 - Prob. 1CYUCh. 6.7 - Prob. 2CYUCh. 6.7 - Prob. 3CYUCh. 6.7 - Prob. 4CYUCh. 6.7 - Prob. 5CYUCh. 6.7 - Prob. 6CYUCh. 6.7 - Prob. 7CYUCh. 6.7 - Prob. 8CYUCh. 6.7 - Prob. 9CYUCh. 6.7 - Prob. 10CYUCh. 6.7 - Prob. 11CYUCh. 6.7 - Prob. 12PPSCh. 6.7 - Prob. 13PPSCh. 6.7 - Prob. 14PPSCh. 6.7 - Prob. 15PPSCh. 6.7 - Prob. 16PPSCh. 6.7 - Prob. 17PPSCh. 6.7 - Prob. 18PPSCh. 6.7 - Prob. 19PPSCh. 6.7 - Prob. 20PPSCh. 6.7 - Prob. 21PPSCh. 6.7 - Prob. 22PPSCh. 6.7 - Prob. 23PPSCh. 6.7 - Prob. 24PPSCh. 6.7 - Prob. 25PPSCh. 6.7 - 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Prob. 16MCQCh. 6 - Prob. 17MCQCh. 6 - Prob. 18MCQCh. 6 - Prob. 19MCQCh. 6 - Prob. 20MCQCh. 6 - Prob. 1SGRCh. 6 - Prob. 2SGRCh. 6 - Prob. 3SGRCh. 6 - Prob. 4SGRCh. 6 - Prob. 5SGRCh. 6 - Prob. 6SGRCh. 6 - Prob. 7SGRCh. 6 - Prob. 8SGRCh. 6 - Prob. 9SGRCh. 6 - Prob. 10SGRCh. 6 - Prob. 11SGRCh. 6 - Prob. 12SGRCh. 6 - Prob. 13SGRCh. 6 - Prob. 14SGRCh. 6 - Prob. 15SGRCh. 6 - Prob. 16SGRCh. 6 - Prob. 17SGRCh. 6 - Prob. 18SGRCh. 6 - Prob. 19SGRCh. 6 - Prob. 20SGRCh. 6 - Prob. 21SGRCh. 6 - Prob. 22SGRCh. 6 - Prob. 23SGRCh. 6 - Prob. 24SGRCh. 6 - Prob. 25SGRCh. 6 - Prob. 26SGRCh. 6 - Prob. 27SGRCh. 6 - Prob. 28SGRCh. 6 - Prob. 29SGRCh. 6 - Prob. 30SGRCh. 6 - Prob. 31SGRCh. 6 - Prob. 32SGRCh. 6 - Prob. 33SGRCh. 6 - Prob. 34SGRCh. 6 - Prob. 35SGRCh. 6 - Prob. 36SGRCh. 6 - Prob. 37SGRCh. 6 - Prob. 38SGRCh. 6 - Prob. 39SGRCh. 6 - Prob. 40SGRCh. 6 - Prob. 41SGRCh. 6 - Prob. 42SGRCh. 6 - Prob. 43SGRCh. 6 - Prob. 44SGRCh. 6 - Prob. 45SGRCh. 6 - Prob. 46SGRCh. 6 - Prob. 47SGRCh. 6 - Prob. 48SGRCh. 6 - Prob. 49SGRCh. 6 - Prob. 50SGRCh. 6 - Prob. 51SGRCh. 6 - Prob. 52SGRCh. 6 - Prob. 53SGRCh. 6 - Prob. 54SGRCh. 6 - Prob. 56SGRCh. 6 - Prob. 57SGRCh. 6 - Prob. 58SGRCh. 6 - Prob. 59SGRCh. 6 - Prob. 60SGRCh. 6 - Prob. 61SGRCh. 6 - Prob. 62SGRCh. 6 - Prob. 63SGRCh. 6 - Prob. 64SGRCh. 6 - Prob. 65SGRCh. 6 - Prob. 66SGRCh. 6 - Prob. 67SGRCh. 6 - Prob. 68SGRCh. 6 - Prob. 69SGRCh. 6 - Prob. 70SGRCh. 6 - Prob. 9PTCh. 6 - Prob. 12PTCh. 6 - Prob. 14PTCh. 6 - Prob. 1STPCh. 6 - Prob. 2STPCh. 6 - Prob. 3STPCh. 6 - Prob. 4STPCh. 6 - Prob. 5STPCh. 6 - Prob. 6STPCh. 6 - Prob. 7STPCh. 6 - Prob. 9STPCh. 6 - Prob. 10STPCh. 6 - Prob. 11STPCh. 6 - Prob. 12STPCh. 6 - Prob. 13STPCh. 6 - Prob. 14STPCh. 6 - Prob. 16STPCh. 6 - Prob. 17STPCh. 6 - Prob. 18STPCh. 6 - Prob. 1PTCh. 6 - Prob. 2PTCh. 6 - Prob. 3PTCh. 6 - Prob. 4PTCh. 6 - Prob. 5PTCh. 6 - Prob. 6PTCh. 6 - Prob. 8PTCh. 6 - Prob. 10PTCh. 6 - Prob. 11PTCh. 6 - Prob. 13PTCh. 6 - Prob. 15PTCh. 6 - Prob. 16PTCh. 6 - Prob. 17PTCh. 6 - Prob. 18PTCh. 6 - Prob. 19PTCh. 6 - Prob. 20PTCh. 6 - Prob. 21PTCh. 6 - Prob. 22PTCh. 6 - Prob. 23PTCh. 6 - Prob. 24PTCh. 6 - Prob. 25PTCh. 6 - Prob. 55SGRCh. 6 - Prob. 71SGRCh. 6 - Prob. 7PTCh. 6 - Prob. 8STPCh. 6 - Prob. 15STP

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