The Time Hazel Spends Commuting To Work Can Be Represented By Two Expressions:- Time To Work: $x + 6y$- Time From Work: $3x - 10y$Which Expression Represents The Total Time Hazel Spends Commuting To And From Work Each Day?A. $4x -

Introduction

Commuting to work is a daily routine that many people face, and it can be a significant part of our daily lives. For Hazel, the time spent commuting to work can be represented by two expressions: $x + 6y$ for the time to work and $3x - 10y$ for the time from work. In this article, we will explore which expression represents the total time Hazel spends commuting to and from work each day.

Understanding the Expressions

Before we can determine the total time Hazel spends commuting, we need to understand the given expressions. The first expression, $x + 6y$, represents the time it takes Hazel to get to work. The second expression, $3x - 10y$, represents the time it takes Hazel to get back home from work.

The Time to Work

The time to work is represented by the expression $x + 6y$. This expression suggests that the time it takes Hazel to get to work is dependent on two variables: $x$ and $y$. The value of $x$ represents the time it takes Hazel to travel to work, while the value of $y$ represents the time it takes Hazel to travel to work with some additional factor.

The Time from Work

The time from work is represented by the expression $3x - 10y$. This expression suggests that the time it takes Hazel to get back home from work is also dependent on two variables: $x$ and $y$. The value of $x$ represents the time it takes Hazel to travel back home, while the value of $y$ represents the time it takes Hazel to travel back home with some additional factor.

Determining the Total Time

To determine the total time Hazel spends commuting to and from work each day, we need to add the two expressions together. This will give us the total time spent commuting.

Adding the Expressions

To add the expressions, we need to combine like terms. The expression $x + 6y$ can be combined with the expression $3x - 10y$ by adding the coefficients of $x$ and $y$.

import sympy as sp

# Define the variables
x, y = sp.symbols('x y')

# Define the expressions
expr1 = x + 6*y
expr2 = 3*x - 10*y

# Add the expressions
total_time = expr1 + expr2

print(total_time)

When we run this code, we get the following output:

4*x - 4*y

Conclusion

In conclusion, the total time Hazel spends commuting to and from work each day is represented by the expression $4x - 4y$. This expression takes into account the time it takes Hazel to get to work and the time it takes Hazel to get back home from work.

Discussion

The expression $4x - 4y$ represents the total time Hazel spends commuting to and from work each day. This expression can be used to calculate the total time spent commuting for different values of $x$ and $y$.

Example Use Case

Suppose we want to calculate the total time Hazel spends commuting to and from work each day when $x = 2$ and $y = 1$. We can plug these values into the expression $4x - 4y$ to get:

total_time = 4*2 - 4*1
print(total_time)

When we run this code, we get the following output:

4

This means that Hazel spends a total of 4 units of time commuting to and from work each day when $x = 2$ and $y = 1$.

Conclusion

Q&A: Understanding the Time Hazel Spends Commuting to Work

Q: What is the time to work represented by? A: The time to work is represented by the expression $x + 6y$. This expression suggests that the time it takes Hazel to get to work is dependent on two variables: $x$ and $y$.

Q: What is the time from work represented by? A: The time from work is represented by the expression $3x - 10y$. This expression suggests that the time it takes Hazel to get back home from work is also dependent on two variables: $x$ and $y$.

Q: How do we determine the total time Hazel spends commuting to and from work each day? A: To determine the total time Hazel spends commuting to and from work each day, we need to add the two expressions together. This will give us the total time spent commuting.

Q: What is the expression that represents the total time Hazel spends commuting to and from work each day? A: The expression that represents the total time Hazel spends commuting to and from work each day is $4x - 4y$.

Q: Can we use the expression $4x - 4y$ to calculate the total time spent commuting for different values of $x$ and $y$? A: Yes, we can use the expression $4x - 4y$ to calculate the total time spent commuting for different values of $x$ and $y$. We simply need to plug in the values of $x$ and $y$ into the expression and evaluate it.

Q: What is an example of how to use the expression $4x - 4y$ to calculate the total time spent commuting? A: Suppose we want to calculate the total time Hazel spends commuting to and from work each day when $x = 2$ and $y = 1$. We can plug these values into the expression $4x - 4y$ to get:

total_time = 4*2 - 4*1
print(total_time)

When we run this code, we get the following output:

4

This means that Hazel spends a total of 4 units of time commuting to and from work each day when $x = 2$ and $y = 1$.

Q: What are some real-world applications of the expression $4x - 4y$? A: The expression $4x - 4y$ can be used in a variety of real-world applications, such as:

• Calculating the total time spent commuting to and from work each day
• Determining the total time spent traveling between two locations
• Evaluating the impact of changes in travel time on daily routines

Q: Can we modify the expression $4x - 4y$ to account for other factors that may affect the total time spent commuting? A: Yes, we can modify the expression $4x - 4y$ to account for other factors that may affect the total time spent commuting. For example, we could add or subtract terms to account for factors such as traffic, road conditions, or weather.

Conclusion

In conclusion, the expression $4x - 4y$ represents the total time Hazel spends commuting to and from work each day. This expression can be used to calculate the total time spent commuting for different values of $x$ and $y$. We can also modify the expression to account for other factors that may affect the total time spent commuting.