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The graph represents the cost of a subscription to a newspaper.

What is the constant of variation for the subscription cost based on the number of weeks?
A. $1.50
B. $7.50
C. $15.00
D. $30.00

The graph represents the cost of a subscription to a newspaper What is the constant of variation for the subscription cost based on the number of weeks A 150 B class=

Respuesta :

B. is the answergghhjj
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ANSWER

The constant of variation is $
[tex]7.50[/tex]


EXPLANATION

The constant of variation is the slope of the straight line in the given graph.

The straight line passes through the point

[tex](4,30),(8,60),(12,90)[/tex]


We can use any two of these points to find the slope of this line using the formula,



[tex]slope = \frac{y_2-y_1}{x_2-x_1}[/tex]


We use

[tex](4,30) \: and \: (8,60)[/tex]

[tex]slope = \frac{60 - 30}{8 - 4} [/tex]

[tex]slope = \frac{30}{ 4} [/tex]

We simplify this to obtain,

[tex]slope = 7.5[/tex]


Therefore, the constant of variation is $7.5.


The correct answer is B.

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