Problema Solution
You found a website that lets you download music for your ipod. The website charges $32 for the first 50 songs downloaded and $20 for each additional 50 songs. Write an equation that gives the total cost (in dollars) for the songs as a function of the number of songs purchased. Find the cost to download 250 songs. Determine the maximum number of songs you can buy with a $72 gift card
Answer provided by our tutors
let
x = the number of downloaded songs
y = the cost
The website charges $32 for the first 50 songs downloaded and $20 for each additional 50 songs:
y = 32 + ((x - 50)/50)*20, if the number of songs x > 50
Find the cost to download 250 songs:
y = 32 + ((250 - 50)/50)*20
y = 32 + 80
y = $112
the cost to download of 250 songs is $112.
Determine the maximum number of songs you can buy with a $72 gift card:
32 + ((x - 50)/50)*20 = 72
by solving we find:
x = 150 songs
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the maximum number of songs u can buy with $72 is 150 songs.