Question

Each year the Miller county country club sponsors a tennis tournament. Play starts with 128 participants. During each round, half
of the players are eliminated.
Rounds
2
3
4
Number of players 164
32
16
18
left
Write an exponential equation that models the data provided in the table.
a. y = 128(1 - 0.50)
C. y = 128(1 - 1.50)
b.
y = 64(1 - 0.50)
d.
y = 64(1 - 1.50)

Answer 1

Answer:

a. y = 128(1 - 0.50)

Step-by-step explanation:

Answer 2

The exponential equation that models the data is provided in the table. y = 128(1 - 0.50).

We have given that,

Each year the Miller county country club sponsors a tennis

tournament. Play starts with 128 participants. During each round, half

of the players are eliminated.

Rounds            Number of players 164

    2                              32

   3                               16

   4                                18

What is the exponential model?

$f(x)=a(1+r)^x$

f(x)=y=exponential function

a=initial amount

r=growth rate

x= number of time interval

From the above data

initial amount=128

r=half of the players are eliminated that is 1/2 = 0.5.

t=1

Therefore,the exponential equation that models the data provided in the table is,

given by the model.

y=128(1-0.50).

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