You are downloading a song. The percent \( y \) (in decimal form) of megabytes remaining to download after \( x \) seconds is given by the equation \( y = -0.1x + 1 \).

Interpret the \( x \)- and \( y \)-intercepts.

I would make the equation have both of your variables on the same side:
0.1x+y=1
Then I would use the cover-up method and say that
x-intercept= 10
y-intercept= 1
*Cover-Up Method: If you were finding the X-intercept, you would just ignore the y variable and divide your whole number by x.
In this case the whole number is 1. 1/0.1=10
Vice Versa with finding the Y-intercept

Answered by Anonymous | 2024-06-10

The Y intercept is always when X equals 0. The X intercept is when Y equals 0. An easy way to find x and y intercepts is to substitute these variables with 0. To find the Y intercept, substitute 0 for X. Y=-.1(0)+1=1 So you know that when Y equals 1 and X equals 0, you have you Y intercept. Because we write coordinates as (X,Y), you can just plug in the numerals and have your coordinate for the Y intercept. So, x=0 y=1 (0,1) To find the X intercept, substitute 0 for Y. 0=-.1x+1 -Add .1x to both sides +.1x +.1x .1x=1 -Divide both side to get x by itself. .1x/.1=1/.1 x=10 So, we know that when y=0, x=10. This is our x intercept. Coordinate form is (X,Y) so our x intercept is (10,0)

Answered by jemimahclaire98 | 2024-06-10

The y-intercept of the equation y = − 0.1 x + 1 is (0, 1), indicating that initially 100% of the song remains to be downloaded. The x-intercept is (10, 0), meaning it takes 10 seconds for the song to be completely downloaded, with 0% remaining. Thus, the download process begins at 100% and ends at 0% after 10 seconds.
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Answered by Anonymous | 2025-02-16