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 blank
2 blank
2.5 6.0
Part C.How much time would it take for the hiker to climb 12 miles?
Hours:
To complete the table, we can first find the distance the hiker climbs in each hour by dividing the distance by the time. For 1 hour, the hiker climbs 2.4 miles. Therefore, for 1.5 hours and 2 hours, we can multiply 2.4 by 1.5 and 2, respectively.
1.5 hours: 2.4 * 1.5 = 3.6 miles
2 hours: 2.4 * 2 = 4.8 miles
So the table is:
Time (hours) Distance (miles)
1 2.4
1.5 3.6
2 4.8
2.5 6.0
Part C:
To find how much time it would take for the hiker to climb 12 miles, we can use the rate of 2.4 miles per hour. We can set up a proportion to find the time:
2.4 miles / 1 hour = 12 miles / X hours
We can solve for X by cross-multiplying:
2.4 * X = 12 * 1
2.4X = 12
Now we can divide by 2.4 to find X:
X = 12 / 2.4
X = 5 hours
So, it would take the hiker 5 hours to climb 12 miles.
To determine the distance the hiker climbed in 1.5 hours and 2 hours, we can use the information given in the table.
First, let's find the distance the hiker climbed in 1.5 hours.
We already know that at 1 hour, the hiker climbed 2.4 miles.
Since we are given a time of 1.5 hours, we can calculate the distance by using a proportion.
We know that 1 hour is equivalent to 2.4 miles.
So, we can set up the proportion:
1 hour / 2.4 miles = 1.5 hours / x miles
To solve for x, we can cross-multiply and divide:
1 * x = 1.5 * 2.4
x = 3.6
Therefore, the distance the hiker climbed in 1.5 hours is 3.6 miles.
Now let's find the distance the hiker climbed in 2 hours.
We already know that at 1 hour, the hiker climbed 2.4 miles.
So, in 2 hours, the hiker would have climbed twice that distance:
2.4 miles * 2 = 4.8 miles
Therefore, the distance the hiker climbed in 2 hours is 4.8 miles.
Now, let's move on to Part C and find how much time it would take for the hiker to climb 12 miles.
We can use the same proportion we used earlier:
1 hour / 2.4 miles = ? hours / 12 miles
To solve for ?, we can cross-multiply and divide:
1 * 12 = ? * 2.4
12 = ? * 2.4
? = 12 / 2.4
? = 5
Therefore, it would take the hiker 5 hours to climb 12 miles.
To determine the distance the hiker climbed in 1.5 hours and 2 hours, we can use the given information.
Given:
Time (hours) Distance (miles)
1 2.4
1.5 Blank
2 Blank
2.5 6.0
To find the distance the hiker climbed in 1.5 hours, we can observe that the ratio of distance to time is constant. We can set up a proportion:
2.4 miles / 1 hour = x miles / 1.5 hours
Cross multiplying, we get:
(2.4 miles) * (1.5 hours) = (1 hour) * (x miles)
3.6 miles = x miles
Therefore, the distance the hiker climbed in 1.5 hours is 3.6 miles.
Similarly, to find the distance the hiker climbed in 2 hours, we can use the same proportion:
2.4 miles / 1 hour = x miles / 2 hours
Cross multiplying, we get:
(2.4 miles) * (2 hours) = (1 hour) * (x miles)
4.8 miles = x miles
Therefore, the distance the hiker climbed in 2 hours is 4.8 miles.
Part C: To find how much time it would take for the hiker to climb 12 miles, we can set up a proportion using the previous information:
2.4 miles / 1 hour = 12 miles / x hours
Cross multiplying, we get:
(2.4 miles) * (x hours) = (1 hour) * (12 miles)
2.4x = 12
Dividing both sides by 2.4, we get:
x = 12 / 2.4
Simplifying the right side, we get:
x = 5
Therefore, it would take the hiker 5 hours to climb 12 miles.