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)

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)

Answer

Explanation:

Step1: Recall the formula for constant of variation

The relationship between total cost $y$ and number of weeks $x$ for direct - variation is $y = kx$, where $k$ is the constant of variation. We can find $k$ using the formula $k=\frac{y}{x}$.

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

$k=\frac{y}{x}=\frac{30}{4}=7.5$

Answer:

$7.50$