Tanner is traveling on his first flight to visit family. 845 minutes into the flight, the pilot announces the plane is currently at an altitude of 3740 feet. At that rate, how long will it take to reach a cruising altitude of 32,400 feet? **(round to the tenths place)**
 
It will take approximately Question Blank 1 of 1 minutes to reach a cruising altitude of 32,400 feet.

To solve this problem, we need to calculate how long it will take the plane to ascend from 3,740 feet to 32,400 feet at the same rate.

### Step 1: Find the difference in altitude
The difference between the cruising altitude and the current altitude is:
\[
32,400 - 3,740 = 28,660 \text{ feet}
\]

### Step 2: Determine the rate of ascent
The plane took 845 minutes to reach an altitude of 3,740 feet. The rate of ascent is calculated as:
\[
\text{Rate of ascent} = \frac{3,740 \text{ feet}}{845 \text{ minutes}} = 4.425 \text{ feet per minute}
\]

### Step 3: Calculate the remaining time
Now, we need to calculate how long it will take to ascend the remaining 28,660 feet at a rate of 4.425 feet per minute:
\[
\text{Time} = \frac{28,660 \text{ feet}}{4.425 \text{ feet per minute}} \approx 6,476.7 \text{ minutes}
\]

Thus, it will take approximately **6,476.7 minutes** to reach the cruising altitude.

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Do you have any questions or want more details on the steps?

Here are 5 related questions:
1. What is the formula to calculate rate of ascent?
2. How would the answer change if the rate of ascent were faster?
3. What is the significance of calculating feet per minute in aviation?
4. How would you convert the result to hours instead of minutes?
5. If the flight continues at a different rate, how would you adjust the calculation?

**Tip:** In aviation, calculating the rate of ascent is crucial for safe takeoff and maintaining optimal flight paths.

Tanner is traveling on his first flight to visit family. 845 minutes into the flight, the pilot announces the plane is currently at an altitude of 3740 feet. At that rate, how long will it take to reach a cruising altitude of 32,400 feet? (round to the tenths place)

Learn how to calculate the time it will take for a plane to reach its cruising altitude of 32,400 feet from its current altitude of 3,740 feet. Using basic algebra and the rate of ascent formula, this problem provides a step-by-step solution suitable for students in Grades 6-8.

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