How many songs are played on your favorite radio station in a given year?

Your favorite radio station in a given year plays 105120 songs.

Step-by-step explanation:

Lets make some assumptions:

1. A radio program in average last 50 minutes, because 10 of them are for commercials.

2. a song average length is about 3 minutes

3. the speakers use 10 to 20 minutes of the radio program.

4. So, in an hour just 30 minutes are effectively used to play songs on a radio station. That results in 10 per hour at least, and 13.3 at most. So lets settle an average of 12 songs per hour.

5. The radio station plays songs 24 hours a day unstoppable.

Now:

A day has 24 hours, a week seven days and therefor (24*7= 168 hours) 168 hours in a week.  

A year has 52.1429 weeks, so it has 8760 Hours (52.17429weeks*168hours=8760 hours )

So:

8760 hours in a year

12 songs per hour

step-by-step explanation:

this is not a question

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.