Part A
The equation to model the relationship between distance (d) and time (h) for the hiker climbing at a constant rate of 2.4 miles per hour is:
d = 2.4h
This equation represents the distance the hiker has climbed (d) being equal to their rate of 2.4 miles per hour (the constant) multiplied by the time in hours (h).
Part B
Time (hours) Distance (miles)
1 2.4
1.5 d = 2.4 * 1.5 = 3.6
2 d = 2.4 * 2 = 4.8
2.5 6.0
Time (hours) Distance (miles)
1 2.4
1.5 3.6
2 4.8
2.5 6.0
Part C
To find out how much time (h) it would take for the hiker to climb 12 miles, we can use the equation from Part A:
12 = 2.4h
Now, we can solve for h:
h = 12 / 2.4
h = 5
So, it would take the hiker 5 hours to climb 12 miles.
A hiker is climbing at a constant rate of 2.4 miles per hour.
Part A
If d represents the distance the hiker climbed and h represents the time in hours, write an equation to model the relationship. Explain your answer.
Part B
Complete the table by determining the distance the hiker climbed in 1.5 hours and 2 hours.
Time (hours) Distance (miles)
1
2.4
1.5
2
2.5
6.0
Part C
How much time would it take for the hiker to climb 12 miles?
hours
1 answer