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bulgar [2K]
3 years ago
8

Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 2.5 when y

= 100.
Mathematics
2 answers:
fenix001 [56]3 years ago
4 0
2.5x40=100 100/40=2.5
NeX [460]3 years ago
3 0

Answer:

constant of variation(k) is, 250.

y = \frac{250}{x}

Step-by-step explanation:

The inverse variation says that:

y \propto \frac{1}{x}

then, the equation is in the form of :

y = \frac{k}{x}        ....[1] where, k is the constant of variation

As per the statement:

Suppose that y varies inversely with x.

then,

by definition of inverse variation we have;

y = \frac{k}{x}

When x = 2.5 and y = 100 then

Substitute these in [1] we have;

100 = \frac{k}{2.5}

Multiply 2.5 both sides we have;

250 = k

or

k = 250

⇒y = \frac{250}{x}

Therefore, the constant of variation is, 250 and the equation we get y = \frac{250}{x}

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