Two quantities, x and y, are directly proportional. If x is doubled, what happens to y?
Question
Answer:
Answer:y is also doubled.Step-by-step explanation:Direct proportionality between [tex]x[/tex] and [tex]y[/tex] means that [tex]y \propto x[/tex]or[tex]y=cx[/tex],which indicates a linear relationship between Β [tex]x[/tex] and [tex]y[/tex] because they are related by a constant. Therefore, if x is doubled, then the new value of [tex]y[/tex] is [tex]y_{new}[/tex][tex]y_{new}=c(2x)[/tex][tex]y_{new}=2(cx)[/tex][tex]y_{new}=2y[/tex]The new value of [tex]y[/tex] is 2 times the previous; therefore, [tex]y[/tex] is doubled as [tex]x[/tex] is doubled.
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