Spreads is jointly proportional to the number of

spreads is jointly proportional to the number of people who
have heard the rumor and to the number of people who
have not heard it. Given that the rumor is spreading at the
rate of 20 people per hour when 200 people have heard it,
express the rate at which the rumor is spreading in terms of
the number of people who have heard it.

In a community of 8,000 people, the rate at which a rumor
spreads is jointly proportional to the number of people who
have heard the rumor and to the number of people who
have not heard it. Given that the rumor is spreading at the
rate of 20 people per hour when 200 people have heard it,
express the rate at which the rumor is spreading in terms of
the number of people who have heard it.
Solution: Let r people per hour be the rate at which the
rumor spreads in a community of 8,000 people when x
people have heard the rumor. Then,

In a community of 8,000 people, the rate at which a rumor
spreads is jointly proportional to the number of people who
have heard the rumor and to the number of people who
have not heard it. Given that the rumor is spreading at the
rate of 20 people per hour when 200 people have heard it,
express the rate at which the rumor is spreading in terms of
the number of people who have heard it.
Solution: Let r people per hour be the rate at which the
rumor spreads in a community of 8,000 people when x
people have heard the rumor. Then,
r = kx (8000 - x )

In a community of 8,000 people, the rate at which a rumor
spreads is jointly proportional to the number of people who
have heard the rumor and to the number of people who
have not heard it. Given that the rumor is spreading at the
rate of 20 people per hour when 200 people have heard it ,
express the rate at which the rumor is spreading in terms of
the number of people who have heard it.
Solution: Let r people per hour be the rate at which the
rumor spreads in a community of 8,000 people when x
people have heard the rumor. Then,
r = kx (8000 - x )
⇒ 20 = k (200)

In a community of 8,000 people, the rate at which a rumor
spreads is jointly proportional to the number of people who
have heard the rumor and to the number of people who
have not heard it. Given that the rumor is spreading at the
rate of 20 people per hour when 200 people have heard it ,
express the rate at which the rumor is spreading in terms of
the number of people who have heard it.
Solution: Let r people per hour be the rate at which the
rumor spreads in a community of 8,000 people when x
people have heard the rumor. Then,
r = kx (8000 - x )
⇒ 20 = k (200)(8000 - 200)

In a community of 8,000 people, the rate at which a rumor
spreads is jointly proportional to the number of people who
have heard the rumor and to the number of people who
have not heard it. Given that the rumor is spreading at the
rate of 20 people per hour when 200 people have heard it,
express the rate at which the rumor is spreading in terms of
the number of people who have heard it.