Question

The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking. Write an equation that represents this function, letting t represent the independent variable, let h represent the function, and h(t) the dependent variable. Then, determine h(4).

Answer 1

the distance in miles = three times the number un hours

h(t) = 3t

h(4) = 3*4 = 12

Answer 2

Answer: a) h(t)=3t

b) h(4)=12 miles

Explanation:

Given: The maintained speed while hiking= 3 miles per hour

Let t be the time which represent the independent variable.

Also we know that Distance= Speed × Time

⇒ Distance traveled while hiking=3 ×t=3t

Let h represent the distance function in miles, and h(t) the dependent variable.

Then h(t)=3t

When we put t=4

Then h(4)=3×4 =12 miles.