Mathematics

Mathematics

Problem

On the interval

2<t<5

, a particle moves so that

\dfrac{dy}{dt}>0

while

\dfrac{dx}{dt}<0

. Which statement correctly describes the behavior of

y

with respect to

x

on that interval? a)

y

increases as

x

decreases, and

\dfrac{dy}{dx}

is positive. b) Both

y

and

x

increase, so

\dfrac{dy}{dx}

is positive. c)

y

increases as

x

decreases, and

\dfrac{dy}{dx}

is negative. d)

y

decreases as

x

decreases, so

\dfrac{dy}{dx}

is positive.

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