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3 years ago

BRAINLESTwhat is the value of the function at x=2

Mathematics

1 answer:

BARSIC [14]3 years ago

3 0

Answer:

y = - 3

Step-by-step explanation:

Locate x = 2 on the x- axis, then go down vertically to meet the line. At this point read off the corresponding value on the y- axis, thus

The value of the function at x = 2 is y = - 3

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3 years ago

The population of rabbits on an island is growing exponentially. In the year 1991, the population of rabbits was 9100, and by 19

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Answer:

$39,223\ rabbits$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

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

where

y is the population of rabbits

x is the number of years since 1991

a is the initial value

r is the rate of change

we have

$a=9,100$

substitute

$y=9,100(1+r)^x$

For the year 1998

the number of years is equal to

x=1998-1991=7 years

we have the ordered pair (7,18,000)

substitute in the exponential equation and solve for r

$18,000=9,100(1+r)^7$

$(18,000/9,100)=(1+r)^7$

elevated both sides to 1/7

$(1+r)=1.1023$

$r=0.1023$

therefore

$y=9,100(1+0.1023)^x$

$y=9,100(1.1023)^x$

Predict the population of rabbits in the year 2006

Find the value of x

x=2006-1991=15 years

substitute the value of x in the equation

$y=9,100(1.1023)^{15}$

$y=39,223\ rabbits$

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2 years ago

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I
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Step-by-step explanation:

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BRAINLESTwhat is the value of the function at x=2​

BRAINLESTwhat is the value of the function at x=2