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).
the distance in miles = three times the number un hours
h(t) = 3t
h(4) = 3*4 = 12
Answer: a) h(t)=3t
b) h(4)=12 miles
Step-by-step 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.