Yesterday, Selma Read 15 Pages Of Her Book. If She Reads At A Pace Of 2 Pages Per Minute Today, Which Table Shows Only Viable Solutions For The Total Number Of Pages She Has Read, Y Y Y , After X X X Minutes Have Elapsed?1.
In this article, we will explore the relationship between the time elapsed and the total number of pages read by Selma. We will create a table that shows only viable solutions for the total number of pages she has read, denoted as , after minutes have elapsed.
The Problem
Selma read 15 pages of her book yesterday. If she reads at a pace of 2 pages per minute today, we need to find the total number of pages she has read after minutes have elapsed.
The Equation
Let's denote the total number of pages read as . Since Selma reads at a pace of 2 pages per minute, the number of pages read in minutes is given by the equation:
The Table
We want to create a table that shows only viable solutions for the total number of pages read, , after minutes have elapsed. To do this, we need to find the values of and that satisfy the equation .
(minutes) | (pages) |
---|---|
0 | 15 |
1 | 17 |
2 | 19 |
3 | 21 |
4 | 23 |
5 | 25 |
6 | 27 |
7 | 29 |
8 | 31 |
9 | 33 |
10 | 35 |
Analyzing the Table
From the table, we can see that the total number of pages read, , increases by 2 pages for every minute that passes. This is because Selma reads at a pace of 2 pages per minute.
Conclusion
In conclusion, the table shows only viable solutions for the total number of pages read, , after minutes have elapsed. The equation represents the relationship between the time elapsed and the total number of pages read by Selma.
In this section, we will explore the relationship between the time elapsed and the total number of pages read by Selma in more detail.
The Equation Revisited
Let's revisit the equation . This equation represents the relationship between the time elapsed and the total number of pages read by Selma.
The Slope
The slope of the equation is 2. This means that for every minute that passes, the total number of pages read increases by 2 pages.
The Y-Intercept
The y-intercept of the equation is 15. This means that when , the total number of pages read is 15.
In this section, we will create a graphical representation of the relationship between the time elapsed and the total number of pages read by Selma.
The Graph
The graph of the equation is a straight line with a slope of 2 and a y-intercept of 15.
Interpreting the Graph
From the graph, we can see that the total number of pages read, , increases by 2 pages for every minute that passes. This is because Selma reads at a pace of 2 pages per minute.
Conclusion
In conclusion, the graph represents the relationship between the time elapsed and the total number of pages read by Selma. The equation represents the relationship between the time elapsed and the total number of pages read by Selma.
Real-World Applications
The relationship between the time elapsed and the total number of pages read by Selma has several real-world applications.
Reading Speed
The relationship between the time elapsed and the total number of pages read by Selma can be used to determine a person's reading speed. For example, if a person reads at a pace of 2 pages per minute, they can read a total of 20 pages in 10 minutes.
Time Management
The relationship between the time elapsed and the total number of pages read by Selma can also be used to manage time effectively. For example, if a person wants to read a total of 30 pages in 15 minutes, they can use the equation to determine the time required to read the pages.
Conclusion
In conclusion, the relationship between the time elapsed and the total number of pages read by Selma has several real-world applications. The equation represents the relationship between the time elapsed and the total number of pages read by Selma.
Final Thoughts
In this article, we will answer some frequently asked questions about the relationship between time and pages read.
Q: What is the equation that represents the relationship between time and pages read?
A: The equation that represents the relationship between time and pages read is , where is the total number of pages read and is the time elapsed in minutes.
Q: What is the slope of the equation ?
A: The slope of the equation is 2. This means that for every minute that passes, the total number of pages read increases by 2 pages.
Q: What is the y-intercept of the equation ?
A: The y-intercept of the equation is 15. This means that when , the total number of pages read is 15.
Q: How can I use the equation to determine the time required to read a certain number of pages?
A: To determine the time required to read a certain number of pages, you can use the equation and solve for . For example, if you want to read 30 pages, you can set and solve for .
Q: What is the relationship between reading speed and the equation ?
A: The equation represents the relationship between reading speed and the time elapsed. If a person reads at a pace of 2 pages per minute, they can use the equation to determine the time required to read a certain number of pages.
Q: How can I use the equation to manage time effectively?
A: You can use the equation to manage time effectively by determining the time required to read a certain number of pages. For example, if you want to read 30 pages in 15 minutes, you can use the equation to determine the time required to read the pages.
Q: What are some real-world applications of the equation ?
A: Some real-world applications of the equation include determining reading speed, managing time effectively, and calculating the time required to read a certain number of pages.
Q: Can I use the equation to determine the total number of pages read if I know the time elapsed and the reading speed?
A: Yes, you can use the equation to determine the total number of pages read if you know the time elapsed and the reading speed. Simply plug in the values for and the reading speed into the equation and solve for .
Q: What is the significance of the equation in real-world scenarios?
A: The equation is significant in real-world scenarios because it represents the relationship between time and pages read. It can be used to determine reading speed, manage time effectively, and calculate the time required to read a certain number of pages.
Conclusion
In conclusion, the equation represents the relationship between time and pages read. It can be used to determine reading speed, manage time effectively, and calculate the time required to read a certain number of pages.