A radio station plays 12 songs each hour. They never stop for commercials, news, weather, or traffic reports.
a. Write an expression describing how many songs are played by the radio station in H hours.
b. How many songs will be played in an entire day (24 hours)?
c. How long does it take the radio station to play 60 consecutive songs?

Respuesta :

The expression describing how many songs are played by the radio station in H hours is [tex]\rm Number \ of \ songs = 12 \times H[/tex].

The number of songs played in 24 hours is 288.

It takes 5 hours to play 60 consecutive songs.

Given

A radio station plays 12 songs each hour.

They never stop for commercials, news, weather, or traffic reports.

1. Write an expression describing how many songs are played by the radio station in H hours.

The number of songs played in 1 hour = 12

Then,

The number of songs played in H hour is;

[tex]\rm Number \ of \ songs = Songs \ played \ in \ one \ hour \times Songs \ played \ in \ H \ hour \\\\Number \ of \ songs = 12 \times H\\\\Number \ of \ songs = 12H[/tex]

The expression describing how many songs are played by the radio station in H hours is [tex]\rm Number \ of \ songs = 12 \times H[/tex].

2. How many songs will be played in an entire day (24 hours)?

The number of songs played in 24 hours is;

Put H = 24 in the equation;

[tex]\rm Number \ of \ songs = 12 \times H\\\\ \rm Number \ of \ songs = 12 \times24\\\\ Number \ of \ songs =288 \ songs[/tex]

The number of songs played in 24 hours is 288.

3. How long does it take the radio station to play 60 consecutive songs?

[tex]\rm Number \ of \ songs = 12 \times H\\\\ 60 = 12 \times H\\\\H = \dfrac{60}{12}\\\\H=5 \ hours[/tex]

It takes 5 hours to play 60 consecutive songs.

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