The number of free downloads is determined using a ratio. when you purchase 40 songs, you get 24 free song downloads. how many songs must you purchase in order to get 18 free song downloads

When you purchase 40 songs, you get 24 free song downloads.

Simplify the ratio: (40/24)/(8/8) = 5/3

You must purchase 5 songs to get 3 free song downloads.

Now find how much songs you must purchase to get 18 free downloads. Multiply 6 to numerator & denominator:

(5/3)(6/6) = 30/18

To get 18 free song downloads, you must purchase 30 songs.

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f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

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step-by-step explanation: