Math Problem Statement
Table 1 shows the values of two variables, x and y, obtained from an experiment. A straight line will be obtained when a graph of 1/y against x^2 is plotted. Based on the table, construct a table for x^2 and 1/y, plot the graph using the given scale, and answer the related questions about y and its expression in terms of x.
Solution
The question contains a table and instructions for mathematical tasks such as constructing a table, plotting a graph, and interpreting the results. Here's how we can approach each part based on the visible text in the image:
Instructions Breakdown:
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Part (a): Construct a table for and .
- Use the given data for and from the table.
- Compute for each value of .
- Compute for each value of .
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Part (b): Plot against .
- Use a scale of 2 cm for (horizontal axis) and 0.5 unit for (vertical axis).
- Draw the best-fit line through the points.
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Part (c): Use the graph from part (b) to answer:
- Find the value of when .
- Express in terms of using the graph.
Would you like me to:
- Construct the table for and ?
- Provide guidance on plotting the graph?
- Assist with the interpretation of the graph for part (c)?
Let me know how you'd like to proceed!
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Math Problem Analysis
Mathematical Concepts
Graph Plotting
Algebra
Functions
Linear Relationships
Formulas
x^2 = x * x
1/y = Reciprocal of y
Theorems
Linear relationship between variables when plotted against specific transformations
Suitable Grade Level
Grades 10-11