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morpeh [17]
2 years ago
12

Which ordered pair is generated from the equation shown below?

Mathematics
1 answer:
Evgesh-ka [11]2 years ago
3 0

Answer:

(3, 11)

Step-by-step explanation:

To check the ordered pair from given option .

lets plug in the value of x from the choices given .

If value of y is same a sin ordered pair then that pair is correct answer else it can be concluded that pair is not generated from equation given.

equation: y = 3x + 2

_____________________________________

A) (3, 11)

If we put value of X=3 in equation y = 3x + 2,

then y should be 11

y = 3x + 2

=> y = 3*3+2 = 9+2 = 11 . (This is as expected for ordered pair)

Hence this pair (3, 11) is generated from given equation.

_____________________________________

A) (3, 9)

If we put value of X=3 in equation y = 3x + 2,

then y should be 9

y = 3x + 2

=> y = 3*3+2 = 9+2 = 11 . (This is not as expected for ordered pair(3,9)

Hence this pair is not generated from given equation.

_____________________________________

A) (5, 15)

If we put value of X=5 in equation y = 3x + 2,

then y should be 15

y = 3x + 2

=> y = 3*5+2 = 15+2 = 17 . (This is not as expected for ordered pair(5,15)

Hence this pair is not generated from given equation.

_____________________________________

A) (2, 4)

If we put value of X=3 in equation y = 3x + 2,

then y should be 9

y = 3x + 2

=> y = 3*2+2 = 6+2 = 8. (This is not as expected for ordered pair(2, 4)

Hence this pair is not generated from given equation.

_________________________________________________

Thus, only A) (3, 11) is generated from the equation y = 3x + 2

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Answer:

<em></em>f(x) = 63000(0.97)^x<em></em>

<em></em>

Step-by-step explanation:

Given

f(0) = 63000 ---x = 0, in 2012

f(5) = 54100 -- x = 5, in 2017

Required

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Because there is a reduction in the population, as time increases; the rate must be less than 1.

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This implies that (a) and (b) cannot be true

For option (c), we have:

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f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100

<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>

For option (d), we have:

f(x) = 52477(0.97)^x

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f(0) = 52477(0.97)^0 - 52477* 1 = 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

For option (e), we have:

f(x) = 63000(0.97)^\frac{1}{5x}

Set x = 0

f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =undefined

<em>This is false because the f(x) is not undefined at x = 0</em>

For option (f), we have:

f(x) = 52477(0.97)^{5x

Set x = 0

f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

<em>From the computations above, only (c) </em>f(x) = 63000(0.97)^x<em> is true</em>

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