Superman needs to save Lois from the clutches of Lex Luthor. After flying for 5 seconds, he is 1900 meters from her. Then at 17 seconds he is 1180 meters from her.
Write an equation to model this situation (use m for meters and s for seconds)

Question

Superman needs to save Lois from the clutches of Lex Luthor. After flying for 5 seconds, he is 1900 meters from her. Then at 17 seconds he is 1180 meters from her.
Write an equation to model this situation (use m for meters and s for seconds)

erak · Answer

Just wondering, do you know what kind of function it is? e.g. linear vs quadratic

felisha · Answer

Linear

erak · Answer

Okay so you would do the slope equation. Do you know what that is and how to get slope from your two points (5, 1900) and (17, 1180)?

felisha · Answer

y2-y1/x2-x1 and then y-y1=m(x-x1)

erak · Answer

So yeah, just find your m = y2-y1/x2-x1 first, and tell me what you get.

felisha · Answer

-720/12

erak · Answer

Oh sorry, didn't notice. So yeah, if you divide that, you will get -60 as your slope.

Right now your equation is:

y = -60x + b

Substitute one of your points to solve for b.

felisha · Answer

-720/12 simplifies to -60 which becomes the slope  y-1900=-60(x-5) distribute and then it is y-1900=-60x+300 add 1900 to both sides and it becomes y=-60x+2200 is that correct

erak · Answer

yes that's correct

felisha · Answer

Thank you for helping me