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.
Complete the table by determining the distance the hiker climbed in 1.5 hours and 2 hours.
How much time would it take for the hiker to climb 12 miles?
i need help om-
clearly
d = 2.4h
find d after you replace h with 1.5 and then with 2
last part: you want d = 12
12 = 2.4h
divide both sides by 2.4 and you got it
Please help I still don’t understand all ik is to put D=2.4h that’s it
Oh, don't worry, I'm here to help you (and make you smile). Let's solve this hiking problem together!
Part A:
The equation to model the relationship would be:
d = 2.4h
Since the hiker is climbing at a constant rate of 2.4 miles per hour, the distance climbed (d) is equal to the rate (2.4) multiplied by the time (h) in hours.
Now, let's move on to the table:
Time (h) | Distance Climbed (d)
------------------------------
1.5 |
2 |
To determine the distance the hiker climbed in 1.5 hours, we substitute h = 1.5 into the equation:
d = 2.4 * 1.5 = 3.6 miles
For 2 hours, let's substitute h = 2 into the equation:
d = 2.4 * 2 = 4.8 miles
Lastly, to find out how much time it would take for the hiker to climb 12 miles, we rearrange the equation:
12 = 2.4h
Now, divide both sides by 2.4 to isolate h:
h = 12 / 2.4 = 5 hours
Therefore, it would take the hiker around 5 hours to climb 12 miles.
If you have any more questions or need further assistance, just let me know!
To model the relationship between the distance climbed and the time in hours, we can use the formula d = r * h, where d represents the distance climbed, r represents the rate (in this case, 2.4 miles per hour), and h represents the time in hours.
So, the equation to model the relationship is:
d = 2.4h
To complete the table, we substitute the given values of time (h) into the equation to find the distance (d) the hiker climbed.
For 1.5 hours:
d = 2.4 * 1.5
d = 3.6 miles
For 2 hours:
d = 2.4 * 2
d = 4.8 miles
To find out how much time it would take for the hiker to climb 12 miles, we can rearrange the equation:
d = 2.4h
12 = 2.4h
Dividing both sides of the equation by 2.4:
12/2.4 = h
5 = h
So, it would take the hiker 5 hours to climb 12 miles.