A hot air balloon ascending at a constant rate climbed 71 meters in 40 seconds. At this rate, about how many minutes will it take the balloon to climb to an altitude of 1 kilometer? Round your answer to the nearest tenth if necessary.
9.4 minutes
18.8 minutes
0.9 minute
11.7 minutes
Answer
Final Answer: The time it will take for the balloon to climb to an altitude of 1 kilometer is approximately \(\boxed{9.4}\) minutes.
Step 1 ：First, we need to find the rate of ascent of the balloon in meters per second. This can be done by dividing the total distance climbed (71 meters) by the total time taken (40 seconds), which gives us \(\frac{71}{40} = 1.775\) meters per second.
Step 2 ：Next, we need to find out how long it would take for the balloon to climb 1 kilometer (or 1000 meters) at this rate. This can be done by dividing the total distance to be climbed (1000 meters) by the rate of ascent, which gives us \(\frac{1000}{1.775} = 563.3802816901409\) seconds.
Step 3 ：Finally, since the question asks for the time in minutes, we need to convert the time from seconds to minutes by dividing by 60, which gives us \(\frac{563.3802816901409}{60} = 9.4\) minutes.
Step 4 ：Final Answer: The time it will take for the balloon to climb to an altitude of 1 kilometer is approximately \(\boxed{9.4}\) minutes.
