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larisa [96]
3 years ago
7

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

ne. When x has a value of 3, y has a value of 2. What will be the value of y when x has a value of 9?​
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0

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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