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3 years ago

Variable y varies directly with variable x, and y = 5 when x = 8.

Mathematics

2 answers:

Keith_Richards [23]3 years ago

7 0

8 _ _ _ _ _ 5
x _ _ _ _ _ 15

8 / x = 5 / 15 ;
x = ( 8 × 15 ) / 5 ;
x = 120 / 5 ;
x = 24 ;

qaws [65]3 years ago

4 0

Y = kx

Plug in what we know:

5 = k(8)

5 = 8k

Divide 8 to both sides:

k = 0.625

Plug this back into the equation along with y = 15:

y = kx

15 = 0.625x

Divide 0.625 to both sides:

x = 24

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${\large{\textsf{\textbf{\underline{\underline{Question \: 1 :}}}}}}$

$\star\:{\underline{\underline{\sf{\purple{Solution:}}}}}$

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$\longrightarrow \sf \purple{1}$

${\large{\textsf{\textbf{\underline{\underline{Question \: 2 :}}}}}}$

$\star\:{\underline{\underline{\sf{\red{Solution:}}}}}$

$\bullet \sf \: \dfrac{ {8}^{ - 1} \times {5}^{3} }{ {2}^{ - 4}}$

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