contestada

a) y = 8x

What happens to the value of y if the value of x triples?

Select your answer.

x 8

x 3

+ 3

+ 8

A

B

C

D

8

b) y= x

What happens to the value of y if the value of x doubles?

Select your answer.

x2

x4

- 2

4

A

B

C

D

Respuesta :

Answer:

So when we triple the value of "x" in that expression we also triple the value of "y". The corrrect answer is "x 3".

Step-by-step explanation:

For a given "x", y follows the expression: [tex]y = 8*x[/tex]. We have a new input to the function, which we will call "a", we know that this value is 3 times the value of the prior "x", so we can calculate what will happen to "y" as shown below:

[tex]y_1 = 8*x[/tex]

For when the input is "a":

[tex]y_2 = 8*a[/tex]

We know that "a" is 3 times x, therefore:

[tex]y_2 = 8*(3*x)[/tex]

Due to the associative property of the product we can rewrite the above expression as:

[tex]y_2 = 3*(8*x)[/tex]

Since "8*x" is the same as the prior "y", then we have:

[tex]y_2 = 3*y_1[/tex]

So when we triple the value of "x" in that expression we also triple the value of "y". The corrrect answer is "x 3".

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