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2 years ago

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Mathematics

1 answer:

vladimir1956 [14]2 years ago

5 0

Answer:

10:40

Step-by-step explanation:

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Step-by-step explanation:

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The variables x and y have a quadratic relationship. Tripling the value of x causes the value of y to increase by a factor of ni

Lady bird [3.3K]

Answer:

<em>The value of y when x has a value of 9 is 18</em>

Step-by-step explanation:

<u>Functions</u>

The variables x and y are said to have a quadratic relationship. That information is not enough to set up a general equation for both variables.

Furthermore, we know that tripling the value of x causes the value of y to be multiplied by 9. That leads us to establish a proportional equation between them, as follows:

$y=kx^2$

Where k is an unknown constant.

Let's use the given point (3,2) to find the value of k:

$2=k(3)^2$

$2=9k$

Solving for k:

$\displaystyle k=\frac{2}{9}$

The equation is now:

$\displaystyle y=\frac{2}{9}x^2$

Now find y when x=9:

$\displaystyle y=\frac{2}{9}(9)^2$

$\displaystyle y=\frac{2}{9}\cdot 81=18$

The value of y when x has a value of 9 is 18

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