The time required to drive a fixed distance varies inversely as the speed. it takes 40 hr at a speed of 10 km/h to drive a fixed distance. how long will it take to drive the same distance at a speed of 400 km/h?

Answer

1 hour.

Explanation

The first step is to find the constant of proportionality.

t ∝ s              Where t ⇒ time

                                 s ⇒ speed

t = k/s                     Where k ⇒ constant of proportionality.

40 = k/10

k = 40 × 10

    = 400

The formula now becomes;

t = 400/s

For 400 km/h time will be;

t = 400/400

 = 1 hour.

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4