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Instructions: varies indirectly with . If =7 when =−4, find when =2. Use the forward slash (i.e. "/") for all fractions (e.g. -1/2 is the same as −12).

Instructions varies indirectly with If 7 when 4 find when 2 Use the forward slash ie for all fractions eg 12 is the same as 12 class=

Respuesta :

Answer:[tex]\begin{gathered} Equation:\text{ y=}\frac{-7}{4}x \\ \\ Solution:\text{ y=}\frac{-7}{2} \end{gathered}[/tex]

Explanation:

y varies directly as x

This can be written mathematically as:

y = kx

If y = 7, x = -4

Solve for the constant k

7 = -4k

k = -7/4

The equation is:

y = -7/4 x

When x = 2

substitute x =2 anto the equatio n y = -7/4 x

[tex]\begin{gathered} y=-\frac{7}{4}\times2 \\ \\ y=-\frac{7}{2} \end{gathered}[/tex]