Elyse has $18 on a gift card that she can use to rent movies online. The graph at the right shows the amount of money remaining on her gift card ba. sed on the number of movies she rents. Find the unit rate of the graph, and describe what it means in the context of the situation.

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calculista calculista · Answer 1 · 2020-01-07T09:55:47+01:00

Answer:

see the explanation

Step-by-step explanation:

The complete question in the attached figure

Let

x ----> the number of movies

y ----> the amount of money remaining on her gift card

we know that

The slope of the linear equation is equal to the unit rate

take two points from the graph

(0,18) and (2,12)

Find the slope

[tex]m=(12-18)/(2-0)[/tex]

[tex]m=(-6)/(2)=-\$3\ per\ movie[/tex] ---> is negative because is a decreasing function

That means -----> Each movie she rents cost her $3, so her gift card balance will decrease $3 for every movie rented

The linear equation is equal to

[tex]y=-3x+18[/tex]

For y=0

[tex]0=-3x+18[/tex]

[tex]x=6[/tex]

so

6 is the maximum number of movies that Elyse can rent on line