Question

You are downloading a song. The percent y (in decimal form) of mega bytes remaining to get downloaded in x seconds is given by y = -0.1x + 1.

(i) graph the equation.

(ii) find the total MB of the song.

(iii) after how many seconds will 75% of the song gets downloaded?

(iv) after how many seconds the song will be downloaded completely?

Answer 1

(i) y = -0.1x + 1

when x = 0 ⇒ y = 1

when y = 0 ⇒ y = 10

(ii) Total MB of song can be obtained when time = 0

∴ x = 0

⇒ y = 1 MB

(iii) Time when 75% of song is downloaded

⇒ remaining % = 25% ⇒ y = 0.25

0.25 = -0. 1x + 1

⇒ 0.1x = 0.75

= 7.5 seconds

(iv) Song will downloaded completely when, remaining %

= 0 ⇒ y = 0

⇒ 0 = -0.1x + 1

⇒ x = 10

∴ 10 seconds