Kevin hiked each day for a week. The first day he hiked ⅙ of a mile, the second day he hiked ½ of a mile, and the third day he hiked ⅚ of a mile. By how much did he increase the distance he hiked each day.

he increased the distance he hiked each day by 1/3 mile

Step-by-step explanation:

The first day he hiked 1/6 of a mile, the second day he hiked 1/2 of a mile. The amount by which his distance increased between the first and second day is

1/2 - 1/6 = 2/6 = 1/3 mile

the third day he hiked 5/6 of a mile. The amount by which his distance increased between the second and third day is

5/6 - 1/2 = 2/6 = 1/3 mile

step-by-step explanation:

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )