Direct variation is when [tex]\dfrac{y}{x}[/tex] is the same for each coordinate.
Indirect variation is when x · y is the same for each coordinate.
11. Answer: Direct Variation
Step-by-step explanation:
[tex]\begin {array}{c||c|c|c|c|c}x&12&18&23&29&34\\y&132&198&253&319&374\\\\\dfrac{y}{x}&\dfrac{132}{12}=11&\dfrac{198}{18}=11&\dfrac{253}{23}=11&\dfrac{319}{29}=11&\dfrac{374}{34}=11\\\end{array} \\\\\\\text{The coordinates x and y show a direct variation.}[/tex]
12. Answer: Indirect Variation
Step-by-step explanation:
[tex]\begin {array}{c||c|c|c|c|c}x&4&6&8&8.4&12\\y&21&14&10.5&10&7\\x\cdot y&4\cdot 21=84&6\cdot 14=84&8\cdot 10.5=84&8.4\cdot 10=84&12\cdot 7=84\\\end{array} \\\\\\\text{The coordinates x and y show an indirect variation.}[/tex]
