Math Problem Statement
Is this table proportional?
Solution
To determine if the table is proportional, we need to check if the ratio of remains constant for each pair of values.
The given values are:
x: & \ 1, \ 4, \ 7 \\ y: & \ 3, \ 12, \ 21 \\ \end{aligned}$$ Let's calculate $$\frac{y}{x}$$ for each pair: 1. For $$(1, 3)$$: $$\frac{y}{x} = \frac{3}{1} = 3$$ 2. For $$(4, 12)$$: $$\frac{y}{x} = \frac{12}{4} = 3$$ 3. For $$(7, 21)$$: $$\frac{y}{x} = \frac{21}{7} = 3$$ Since all the ratios are equal (3), the table is **proportional**. Would you like more details or further clarifications? Here are 5 related questions: 1. What does it mean for two quantities to be proportional? 2. How can you identify the constant of proportionality in a table? 3. Can a table be proportional if the ratios are not equal? 4. What is the formula for direct proportionality between two variables? 5. How do changes in the values of $$x$$ and $$y$$ affect proportionality? **Tip:** Always check if the ratio between corresponding values is constant to determine if the relationship is proportional.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Proportions
Ratios
Algebra
Formulas
y/x = constant
Theorems
Direct Proportionality
Suitable Grade Level
Grades 6-8