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Suppose y varies directly with x and when y=10 when x=-3. What direct variation equation relates x and y? What is the value of y when x =-1?

Verified Answer :

Suppose y varies directly as x, and y=-65 when x=-26. Write a direct variation equation that relates x and y.
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If "y varies directly as x" it is in the form of:
y = kx
where k is a constant
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Using the values provided, you can find k.

y = kx
-65 = k(-26)
-65/(-26) = k
2.5 = k
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So, our equation is:
y = 2.5x

SociometricStar

Answer:

\(y=\frac{10}{3}x\)

y = -10/3

Step-by-step explanation:

We have been given that y varies directly with x. Thus, we have the equation

\(y=kx\)

when y=10 when x=-3

\(10=k(3)\)

Divide both sides by 3, we get

\(k=\frac{10}{3}\)

Thus, the equation which relates x and y is given by

\(y=\frac{10}{3}x\)

Now, we have to find the value of y when x = -1

\(y=\frac{10}{3}(-1)\\\\y=-\frac{10}{3}\)

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