Mathematics

Question

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.

1 Answer

  • 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