anonymous
  • anonymous
Radio signals travel at a rate of 3*10^8 meters per second. How many seconds will it take for a radio signal to travel from a satellite to the surface of the Earth if the satellite is orbiting at a height of 7.5*10^6 meters? A) 6 seconds B) 2.5*10^-2 seconds 3) 4.0*10^3 seconds D) 2.5*10^2 seconds
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
anonymous
  • anonymous
anonymous
  • anonymous

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anonymous
  • anonymous
JoannaBlackwelder
  • JoannaBlackwelder
distance=rate*time
anonymous
  • anonymous
so we solve for rate first? @JoannaBlackwelder
JoannaBlackwelder
  • JoannaBlackwelder
We are given rate. We are looking for time. So, solve for time.
anonymous
  • anonymous
Can u help me with that please @JoannaBlackwelder
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1439920734718:dw| To solve for time, we need to get it by itself.
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1439920766408:dw| r is currently multiplied by t, so we divide by it to get rid of it on that side. And what we do to one side of an equation, we have to do to the other side.
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1439920841491:dw|
JoannaBlackwelder
  • JoannaBlackwelder
Does that make sense so far?
anonymous
  • anonymous
kinda, I get confused with letters in math @JoannaBlackwelder
JoannaBlackwelder
  • JoannaBlackwelder
Ok, yeah, they can be kinda tricky. Let me show you another way that doesn't use letters.
JoannaBlackwelder
  • JoannaBlackwelder
Start with the distance the signal travels:|dw:1439921098416:dw|
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1439921144658:dw| And since the signals travel 3x10^8 meters in 1 second, we can use that ratio as a conversion factor.
JoannaBlackwelder
  • JoannaBlackwelder
Since for the signals 1 second equals 3x10^8 meters of travel
JoannaBlackwelder
  • JoannaBlackwelder
And multiplying by a fraction of two things that are equal is just multiplying by 1, which doesn't change the value.
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1439921324634:dw| The units of m cancel since one is in the numerator and the other is in the denominator.
JoannaBlackwelder
  • JoannaBlackwelder
And we are left with a number of seconds. :-) Does that method make more sense?
anonymous
  • anonymous
It does make more sense.. @JoannaBlackwelder
JoannaBlackwelder
  • JoannaBlackwelder
:-)

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