You and your friend meet at your house and ride bikes in opposite directions. You travel at 12 miles per hour and your friend is traveling two miles per hour faster. How far apart will you be after 3 hours?

42

Step-by-step explanation:

you're traveling 12 miles every hour.

12 * 3 = 36

in 3 hours you will have traveled 36 miles.

your friend is traveling 2 miles every hour.

2 * 3 = 6

In 3 hours they will have traveled 6 miles

The distance between you is the miles you traveled + the miles they traveled.

36 + 6 = 42

You will be 42 miles apart after 3 hours

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)