Question

Superman needs to save Lois from the clutches of Lex Luthor. After flying for 11 seconds, he is 2160 meters from her. Then at 19 seconds he is 1840 meters from her Write an equation to model this situation (use m for meters and s for seconds).

Answer 1

y = -40x+2600

Explanation:

Writing the values as coordinate (m, s)

If after flying for 11 seconds, he is 2160 meters from her, the required coordinate is (11, 2160)

Then at 19 seconds he is 1840 meters, the required coordinate is (19, 1840)

Get the slope;

m = 2160-1840/11-19

m = 320/-8

m = -40

Substitute m = -40 and (11, 2160) into the equations;

y-y0 = m(x-x0)

y -2160 = -40(x-11)

y - 2160 = -40x+440

y = -40x+440 + 2160

y = -40x+2600

Hence the requires equation is y = -40x+2600