Question

An online music store charges $1.25 for each song after you pay a $25 subscription fee. write a function that represents the arithmetic sequence. how many songs

can you buy if you have $57 to spend?

Answer 1

Using the formula T(n) = 25 + 1.25n, where T(n) is total cost and n is the number of songs, you can purchase 25 songs with $57 after paying a $25 subscription fee.

Step-by-step explanation:

The function to represent the total cost for purchasing songs from the online music store, including the subscription fee, is T(n) = 25 + 1.25n, where T(n) is the total cost and n is the number of songs purchased. To find out how many songs you can buy with $57, you start by subtracting the subscription fee from your total budget: $57 - $25 = $32, then divide the remaining amount by the price per song: $32 / 1.25 = 25.6, which means you can buy 25 songs because you can't purchase a fraction of a song.

Answer 2

Answer is you can buy 25 songs

Step by step

Using slope intercept formula for inequality
y ≥ mx +b

y = value
m = rate or slope, here it is price per song
x = variable, here it is how many songs
b = set cost or starting point, here it’s the set subscription fee


57 ≥ 1.25x + 25
Subtract 25 from both sides to isolate x

57 - 25 ≥ 1.25x + 25 - 25

32 ≥ 1.25x

Now divide both sides by 1.25 to solve for x

32/1.25 ≥ 1.25/1.25x

25.6 ≥ x

This tells us x is less than or equal to 25.6

Since we cannot buy a percent of a song, we round down to 25 songs

Check your work, substitute 25 for x

57 ≥ 1.25 (25) + 25

57 ≥ 31.25 + 25

57 ≥ 56.25

Statement is true
57 is more than or equal to 56.25