Hank the hiker would like to go on a hike. He only has four hours available today for the hike. The expression

12d + 12e
is used as a general guide to determine how much time, in hours, a hiker should allow for hiking a trail with a distance of d miles and an elevation gain of e thousand feet. The trail Hank would like to hike is 6 miles long and has an elevation gain of 3000 ft. Will Hank be able to complete this hike in the block of time he has available today?

Respuesta :

Answer:

No.

Step-by-step explanation:

Time available for hike = 4 hours

Length of trail that hank would like to hike = 6 miles

Elevation gain of the trail = 3000 feet

The expression representing the time needed for hike is:

[tex]t =\frac{1}{2}d+\frac{1}{2}e[/tex]

d = the distance/length of the trail = 6

e = elevation gain in thousands = 3

Using these values in the above equation, we get:

[tex]t=\frac{1}{2}(6)+\frac{1}{2}(3)=4.5[/tex]

This means according to the guide Hank should allow him 4.5 hours for the hike. But since he has only 4 hours, he won't be able to complete the hike today