Answer :
Let's evaluate each method one by one to see which ones are reasonable ways to estimate 2% of 150 people.
Method 1: Multiply 2 by 150 to get 300 people
- This is not a reasonable method because multiplying the number of people by 2 would give us twice the number of people, not 2% of the people.
Method 2: 2% is 2 out of 10, so 2% of 150 would be 30 people
- This is not a reasonable method because 2 out of 10 is actually 20%, not 2%. Therefore, taking 20% of 150 would give us 30 people, which is an overestimation of 2%.
Method 3: 20% is 1/5. 1/5 of 150 is 30. 2% is one-tenth of 20%, so 3 people
- This is a reasonable method. To calculate 20% of 150, we can take one-fifth of 150, which gives us 30 people. Since 2% is one-tenth of 20%, we then take one-tenth of 30, yielding 3 people.
Method 4: 2% is 2 out of 100, so out of 150 that would be 3 people
- This is a reasonable method. 2% of 100 is 2 people. Since we are calculating 2% of 150, we need to find what 2% would be for the additional 50 people which is 1 (because 2% of 50 is 1), and add it to the 2 found for the first 100. That calculation gives us 2 + 1 = 3 people.
Method 5: 1% of 150 is 1.5; two times that is 3 people
- This is a reasonable method. If we calculate 1% of 150, we get 1.5 people. Since 2% is twice 1%, we simply multiply 1.5 by 2 to get the answer, which is 3 people.
Thus, the reasonable methods for estimating 2% of 150 people are methods 3, 4, and 5.
