Respuesta :
Answer:
Step-by-step explanation:
This is clearly a linear relationship. If Alex rented the movie for 0 days, he'd owe nothing. If he paid $6 for a 3-day rental, the slope of this line would be m = rise / run = $6/(3 days) = $2/day, which is positive.
Then the equation for this graph is C(x) = ($2/day)x, where x is the number of days for which the movie is rented.
Using this formula, we find three particular points on the graph:
(1, $2), (2, $4), (3, ($6)
The graph that shows the relationship between the costs of renting a movie for different days is given by the graph of (y = 2x) and this can be drawn by first forming the linear equation and then using the transformation.
Given :
Alex paid $6 for renting a movie for 3 days.
The following steps can be used to draw the graph of the relationship between the costs of renting a movie for different days:
Step 1 - First, form the linear equation that shows the relationship between the costs of renting a movie for different days.
[tex]y = \dfrac{6}{3}x[/tex]
y = 2x
where 'x' is the number of days for which the movie is rented.
Step 2 - Now, draw the graph of (y = x).
Step 3 - Multiply the x-axis in the graph of (y = x) by 2 units. The resulting graph is the graph of (y = 2x).
The graph of (y = 2x) is attached below.
For more information, refer to the link given below:
https://brainly.com/question/2263981
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