Alex paid $6 for renting a movie for 3 days. which graph shows the relationship between the costs of renting a movie for different days? a graph is shown with title movie rentals. the horizontal axis label is days, and the vertical axis label is cost of rental in dollars. points are plotted on the ordered pairs 1, 1, and 2, 2, and 3, 3. a graph is shown with title movie rentals. the horizontal axis label is days, and the vertical axis label is cost of rental in dollars. points are plotted on the ordered pairs 1, 3 and 2, 5, and 3, 7. a graph is shown with title movie rentals. the horizontal axis label is days, and the vertical axis label is cost of rental in dollars. points are plotted on the ordered pairs 1, 2 and 2, 4, and 3, 6 a graph is shown with title movie rentals. the horizontal axis label is days, and the vertical axis label is cost of rental in dollars. points are plotted on the ordered pairs 2, 1 and 4, 2, and 6, 3.

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.

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:

link

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)