Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mph or he could just go the whole way at 4 mph. How long would each of these options take? Which option is the faster?

The First Option: 3 2/3 hours

The Second Option: 3 3/4 hours

The First Option is fastest.

Step-by-step explanation:

First part- 5mph for 2 hours 5·2=10 (D=T·S)

15-10=5 because 15 is the total distance and 10 is the first part.(T=D/S)

Second part- 5/3= 1 2/3

5/3 because 5 is the distance left, and 3 is the speed. The time is 1 2/3 hours.

4mph 15m (T=D/S)

15/4= 3 3/4 hours

what is the graph

step-by-step explanation:

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