The equation: s

=

p

2

−

p

2

s

=

p

2

-

p

2

gives the number of handshakes,

s

,

s

,

that would take place when

p

p

people gather in a room and every person in the room shakes the hand of every other person exactly once.

If there are 153 unique handshakes in the room, how many people are there?

There are people in the room.

$79500

step-by-step explanation:

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step-by-step explanation:

explanation:

step-by-step explanation:

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).