contestada

Naomi is a songwriter who collects royalties on her songs whenever they are played in
a commercial or a movie. Naomi will earn $20 every time one of her songs is played
in a commercial and she will earn $100 every time one of her songs is played in a
movie. Naomi's songs were played on 3 more commercials than movies, and her total
earnings on the royalties from all commercials and movies was $300. Graphically
solve a system of equations in order to determine the number of commercials, x, and
the number of movies, y, on which Naomi's songs were played.

Respuesta :

MrRoyal

Equations can be solved in several ways; one of these ways is the graphical method.

The number of commercials, x, and  the number of movies, y, on which Naomi's songs were played are 5 and 2, respectively.

Let:

[tex]x \to[/tex]  commercials

[tex]y \to[/tex] movies

She earned a total of $300.

This is represented as:

[tex]20x + 100y =300[/tex]

Her songs were played on 3 more commercials than movies.

This is represented as:

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

See attachment for the graphs of

[tex]20x + 100y =300[/tex]

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

From the graph, the lines of both equations intersect at:

[tex]x = 5[/tex]

[tex]y = 2[/tex]

This means that:

  • The number of movies is 2
  • The number of commercials is 5

Read more about linear equations at:

https://brainly.com/question/11897796

Ver imagen MrRoyal

Otras preguntas