Math Problem Statement
Determine the equation for y based on the table of values provided.
Solution
From the table provided, we see that each value of matches the corresponding value of . Specifically:
- When ,
- When ,
- When ,
- When ,
This indicates a direct relationship where . Therefore, the equation describing this relationship is:
Would you like a further breakdown of this relationship or have any questions about it?
Here are some related questions for further exploration:
- What would be if using the equation ?
- How would the equation change if each -value were double the -value?
- What is the slope of the line represented by this equation?
- How can you graph this equation on a coordinate plane?
- How would the equation change if all -values were shifted up by 5?
Tip: Recognizing a simple linear relationship in a table of values helps to quickly determine the equation that describes it.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Direct Variation
Formulas
y = x
Theorems
Direct Variation
Suitable Grade Level
Grade 6-8