the graph represents the cost of a subscription to a newspaper. what is the constant of variation for the…

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? weekly newspaper subscription total cost ($) duration (weeks) $1.50 $7.50 $15.00 $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? weekly newspaper subscription total cost ($) duration (weeks) $1.50 $7.50 $15.00 $30.00

Answer

Answer:

B. $7.50

Explanation:

Step1: Recall constant - of - variation formula

For a proportional relationship $y = kx$, $k=\frac{y}{x}$, where $k$ is the constant of variation.

Step2: Select a point from the graph

Let's take the point $(4,30)$. Here $x = 4$ (number of weeks) and $y = 30$ (total cost).

Step3: Calculate the constant of variation

$k=\frac{y}{x}=\frac{30}{4}=7.5$. We can also check with other points. For point $(8,60)$, $k=\frac{60}{8} = 7.5$ and for point $(12,90)$, $k=\frac{90}{12}=7.5$. So the constant of variation for the subscription cost based on the number of weeks is $7.50$.