Which Table Represents Viable Solutions For Y = 5 X Y = 5x Y = 5 X , Where X X X Is The Number Of Tickets Sold For The School Play And Y Y Y Is The Amount Of Money Collected For The Tickets?Option A:$[ \begin{tabular}{|c|c|} \hline

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Understanding the Problem

In this problem, we are given a linear equation $y = 5x$, where $x$ represents the number of tickets sold for the school play and $y$ represents the amount of money collected for the tickets. We need to find the table that represents viable solutions for this equation.

The Equation $y = 5x$

The equation $y = 5x$ is a linear equation, where the value of $y$ is directly proportional to the value of $x$. This means that for every unit increase in $x$, the value of $y$ increases by 5 units.

Analyzing the Options

We are given four tables to choose from, and we need to determine which one represents viable solutions for the equation $y = 5x$. Let's analyze each option carefully.

Option A

$x$	$y$
1	5
2	10
3	15
4	20
5	25

Is Option A a Viable Solution?

Let's examine the values in Option A. We can see that for every unit increase in $x$, the value of $y$ increases by 5 units. This matches the equation $y = 5x$, which means that Option A represents viable solutions for the equation.

Option B

$x$	$y$
1	3
2	6
3	9
4	12
5	15

Is Option B a Viable Solution?

Let's examine the values in Option B. We can see that for every unit increase in $x$, the value of $y$ increases by 3 units. This does not match the equation $y = 5x$, which means that Option B does not represent viable solutions for the equation.

Option C

$x$	$y$
1	10
2	20
3	30
4	40
5	50

Is Option C a Viable Solution?

Let's examine the values in Option C. We can see that for every unit increase in $x$, the value of $y$ increases by 10 units. This does not match the equation $y = 5x$, which means that Option C does not represent viable solutions for the equation.

Option D

$x$	$y$
1	2
2	4
3	6
4	8
5	10

Is Option D a Viable Solution?

Let's examine the values in Option D. We can see that for every unit increase in $x$, the value of $y$ increases by 2 units. This does not match the equation $y = 5x$, which means that Option D does not represent viable solutions for the equation.

Conclusion

Based on our analysis, we can see that only Option A represents viable solutions for the equation $y = 5x$. This is because the values in Option A match the equation, where for every unit increase in $x$, the value of $y$ increases by 5 units.

Key Takeaways

• The equation $y = 5x$ represents a linear relationship between $x$ and $y$.
• For every unit increase in $x$, the value of $y$ increases by 5 units.
• Option A represents viable solutions for the equation $y = 5x$.
• Options B, C, and D do not represent viable solutions for the equation $y = 5x$.

Final Answer

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Frequently Asked Questions

In this article, we will answer some of the most frequently asked questions about the equation $y = 5x$. This equation represents a linear relationship between the number of tickets sold for a school play ($x$) and the amount of money collected ($y$).

Q: What is the equation $y = 5x$?

A: The equation $y = 5x$ represents a linear relationship between the number of tickets sold for a school play ($x$) and the amount of money collected ($y$). For every unit increase in $x$, the value of $y$ increases by 5 units.

Q: How do I determine if a table represents viable solutions for the equation $y = 5x$?

A: To determine if a table represents viable solutions for the equation $y = 5x$, you need to examine the values in the table. If for every unit increase in $x$, the value of $y$ increases by 5 units, then the table represents viable solutions for the equation.

Q: What is the difference between a linear equation and a non-linear equation?

A: A linear equation is an equation in which the highest power of the variable(s) is 1. In the case of the equation $y = 5x$, the highest power of $x$ is 1, which makes it a linear equation. A non-linear equation, on the other hand, is an equation in which the highest power of the variable(s) is greater than 1.

Q: Can I use the equation $y = 5x$ to predict the amount of money collected for a school play?

A: Yes, you can use the equation $y = 5x$ to predict the amount of money collected for a school play. If you know the number of tickets sold ($x$), you can plug that value into the equation to get the predicted amount of money collected ($y$).

Q: What are some real-world applications of the equation $y = 5x$?

A: The equation $y = 5x$ has many real-world applications, including:

• Predicting the amount of money collected for a school play or other event
• Determining the cost of producing a certain number of items
• Calculating the revenue generated by a business
• Modeling population growth or decline

Q: Can I use the equation $y = 5x$ to solve problems involving non-linear relationships?

A: No, the equation $y = 5x$ is only applicable to problems involving linear relationships. If you need to solve a problem involving a non-linear relationship, you will need to use a different equation or approach.

Q: How do I graph the equation $y = 5x$?

A: To graph the equation $y = 5x$, you can use a coordinate plane and plot points that satisfy the equation. For example, if $x = 1$, then $y = 5(1) = 5$. You can plot the point (1, 5) on the coordinate plane and repeat this process for other values of $x$.

Conclusion

In this article, we have answered some of the most frequently asked questions about the equation $y = 5x$. This equation represents a linear relationship between the number of tickets sold for a school play ($x$) and the amount of money collected ($y$). We have also discussed some of the real-world applications of the equation and provided tips for graphing and solving problems involving the equation.

Key Takeaways

• The equation $y = 5x$ represents a linear relationship between $x$ and $y$.
• For every unit increase in $x$, the value of $y$ increases by 5 units.
• The equation $y = 5x$ has many real-world applications, including predicting the amount of money collected for a school play or other event.
• The equation $y = 5x$ is only applicable to problems involving linear relationships.

Final Answer

The final answer is that the equation $y = 5x$ is a useful tool for modeling linear relationships and predicting the amount of money collected for a school play or other event.