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HELP
This table shows the profit for a company (in millions of dollars) in different years.

The quadratic regression equation that models these data is y = - 0.34x^2 + 4.43x + 3.46. Using the quadratic regression equation, what was the predicted profit in year 8?

HELP This table shows the profit for a company in millions of dollars in different years The quadratic regression equation that models these data is y 034x2 443 class=

Respuesta :

frika

Answer:

Predicted profit in year 8 is 17.14 millions of dollars.

Step-by-step explanation:

The quadratic equation

[tex]y=-0.34x^2+4.43x+3.46[/tex]

predicts the profit y for a company in year x.

The profit in year 8 is the value of y at x=8:

[tex]y(8)=-0.34\cdot 8^2+4.43\cdot 8+3.46\\ \\y(8)=-0.34\cdot 64+35.44+3.46\\ \\y(8)=-21.76+38.9\\ \\y(8)=17.14[/tex]

Hence, predicted profit in year 8 is 17.14 millions of dollars.

Answer:

$17.14

Step-by-step explanation:

Given : [tex]y = - 0.34x^2 + 4.43x + 3.46[/tex]

To Find : Using the quadratic regression equation, what was the predicted profit in year 8

Solution :

[tex]y = - 0.34x^2 + 4.43x + 3.46[/tex]

Where y is profit and x is year

Substitute x = 8

[tex]y = -0.34(8)^2 + 4.43(8) + 3.46[/tex]

[tex]y =17.14[/tex]

So, Option D is true

Hence the predicted profit in year 8 is $17.14

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