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Murrr4er [49]
3 years ago
12

Suppose y varies directly with x. if y=-3 when x=5 find y when x=-1

Mathematics
2 answers:
nadezda [96]3 years ago
4 0

Answer:

The value of y at x=-1 is 3/5.

Step-by-step explanation:

It is given that y varies directly with x. It means y is directly proportional to x.

y\propto x

y=kx              .... (1)

where, k is constant of proportionality.

It is given that y=-3 when x=5.

Substitute y=-3 and x=5 in equation (1).

-3=k(5)

-\frac{3}{5}=k

The value of k is -3/5.

y=-\frac{3}{5}x          .... (2)

We need to find the value of y when x=-1.

Substitute x=-1 in equation (2).

y=-\frac{3}{5}(-1)

y=\frac{3}{5}

Therefore the value of y at x=-1 is 3/5.

Scrat [10]3 years ago
3 0
\bf \begin{array}{cccccclllll}
\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x

&&  y={{ k }}x
\end{array}
\\ \quad \\
\textit{we know that, when}
\begin{cases}
y=-3\\
x=5
\end{cases}\implies y=kx\implies (-3)=k(5)

solve for "k", to find the "constant of variation",
then plug it back in the y = kx, to get the equation
now
what's is y when x = -1?
well, just plug that in the equation with the found "k" value,
to get "y" :)
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