a.
To define:The variables to represent the cost of a taco and the cost of a burrito.
a.
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.
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 write:A system of equations to find the cost of a single taco and a single burrito.
b.
Answer to Problem 13MCQ
A system of equations to find the cost of a single taco and a single burrito is
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
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
Conclusion:
A system of equations to find the cost of a single taco and a single burrito is
c.
To solve:The system of equations in obtained in part (a).
c.
Answer to Problem 13MCQ
The solution of system of equations is
Explanation of Solution
Given:
The given system of equations is
Method used:
We solve equations using graphing calculator.
Graph:
The graph of given system of equations
We see that lines
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
d.
To find:The amount to be paid by a customer to buy 2 taco and 2 burrito.
d.
Answer to Problem 13MCQ
The amount to be paid by a customer to buy 2 taco and 2 burrito is
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
The amount paid by customer to buy 2burritos
Therefore, the amount to be paid by a customer to buy 2 taco and 2 burrito is
Conclusion:
The amount to be paid by a customer to buy 2 taco and 2 burrito is
Chapter 6 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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