in a function, y varies inversely with x. the constant of variation is 4. which table could represent the…
in a function, y varies inversely with x. the constant of variation is 4. which table could represent the function?
Answer
Explanation:
Step1: Recall inverse variation formula
For inverse variation, $xy = k$, where $k=4$ (constant).
Step2: Check first table
Test each pair: $(-2)(-2)=4$, $(-1)(-4)=4$, $(1)(4)=4$, $(2)(2)=4$ All pairs satisfy $xy=4$.
Step3: Verify other tables (optional)
Second table: $(-2)(2)=-4≠4$, fails. Third table: $(-2)(-8)=16≠4$, fails. Fourth table: $(-2)(4)=-8≠4$, fails.
Answer:
The first table (with pairs (-2,-2), (-1,-4), (1,4), (2,2))