On a treadmill, you burn 11 calories in 1 minute, 22 calories in 2 minutes, 33 calories in 3 minutes, and so on. How many calories do you burn in 10 minutes?
(1 point)
Responses
50 calories
50 calories
100 calories
100 calories
110 calories
110 calories
1,100 calories
To find the pattern, we can observe that the number of calories burned follows a linear relationship, increasing by 11 calories every minute. Therefore, in 10 minutes, you would burn 11 calories/minute * 10 minutes = 110 calories.
So the correct answer is 110 calories.
To find out how many calories you burn in 10 minutes, we can calculate the calories burned for each minute and add them together.
We can observe that the number of calories burned is increasing by 11 for each additional minute. This means that for each minute, the number of calories burned can be calculated as follows:
Calories burned in 1 minute = 11 calories
Calories burned in 2 minutes = 22 calories (11 calories + 11 calories)
Calories burned in 3 minutes = 33 calories (22 calories + 11 calories)
And so on...
Now, to find the number of calories burned in 10 minutes:
Calories burned in 10 minutes = (Calories burned in 1 minute) + (Calories burned in 2 minutes) + (Calories burned in 3 minutes) + ... + (Calories burned in 10 minutes)
= 11 + 22 + 33 + ... + 110
We can see that this is an arithmetic sequence with a common difference of 11 and a total of 10 terms. We can use the formula for the sum of an arithmetic sequence to find the total:
Sum = (n/2) * (first term + last term)
where n is the number of terms.
In this case, n = 10 and the first term is 11 calories, while the last term is 110 calories:
Sum = (10/2) * (11 + 110)
= 5 * 121
= 605 calories
Therefore, you burn 605 calories in 10 minutes.
To find out how many calories you burn in 10 minutes on a treadmill, we need to observe the pattern in the given information. From the given data, we can see that the number of calories burned is increasing by 11 calories every minute. This means that for every minute, the number of calories burned can be found by multiplying the minute by 11.
So, let's calculate it step by step:
In 1 minute: 1 * 11 = 11 calories
In 2 minutes: 2 * 11 = 22 calories
In 3 minutes: 3 * 11 = 33 calories
...
In 10 minutes: 10 * 11 = 110 calories
Therefore, in 10 minutes on a treadmill, you would burn 110 calories.