Question

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

Answer 1

B. is the answergghhjj

Answer 2

ANSWER

The constant of variation is $

`7.50`


Step-by-step explanation

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

The straight line passes through the point


`(4,30),(8,60),(12,90)`


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




`slope = (y_2-y_1)/(x_2-x_1)`


We use


`(4,30) \: and \: (8,60)`


`slope = (60 - 30)/(8 - 4)`


`slope = (30)/( 4)`

We simplify this to obtain,


`slope = 7.5`


Therefore, the constant of variation is $7.5.


The correct answer is B.