Question

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

Interpret the x- and y- intercepts.

Answer 1

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)

Answer 2

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