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5.fm varies directly as n = 8, and m = 40 when n=-10, find m when n ​


Sagot :

Answer:

[tex]y = - 30[/tex]

Step-by-step explanation:

the initial statement is

[tex]y \: \infty \: x[/tex]

to convert to an equation multiply by k the constant of variation

[tex] => y = kx[/tex]

to find k use the given condition

[tex]y = 24 \: when \: x = 8[/tex]

[tex]y = kx \: => k \: = \frac{y}{x} = \frac{ - 24}{8} = - 3[/tex]

equation is

[tex]y = - 3x[/tex]

[tex]when \: x = 10 \: then[/tex]

[tex]y = - 3 \times 10 = - 30[/tex]

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