Tracy evaluates the expression on a math test, and gets an answer of .

Is this a reasonable answer?
A.
Since rounds to 1 and rounds to 5, the sum rounds to 6. Her answer of is not equal to 6. So, it is not reasonable.

B.
Since rounds to 1 and rounds to 4, the sum rounds to 5. Her answer of rounds to 5. So, it is reasonable.

C.
Since rounds to 1 and rounds to 5, the sum rounds to 6. Her answer of rounds to 6. So, it is reasonable.

D.
Since rounds to 1 and rounds to 4, the sum rounds to 5. Her answer of is not equal to 5. So, it is not reasonable.

1 answer

To determine which option presents a reasonable evaluation of Tracy's answer, we need the specific numbers Tracy is working with to understand how they round and what her final answer is.

Let's assume that Tracy evaluated two numbers, for the purpose of this explanation:

  • Let’s say the first number is \( x \) and the second number is \( y \).
  • Suppose \( x \) rounds to 1 and \( y \) rounds to 5. The sum \( x + y \) would round to \( 6 \).
  • If Tracy's answer is, for example, \( 6.2 \), it would also round to \( 6 \), which would make it reasonable based on option C.

However, if \( y \) were such that it rounded to 4 instead (making the sum round to 5), and Tracy got an answer like \( 6.1 \) which rounds to 6, it would be unreasonable based on option D.

Since we don’t have the specific numbers or the answer Tracy found, the most appropriate method to identify the reasonable response is to align the explanation with the example mentioned in each option:

  • If the first number rounds to 1 and the second number rounds to 4 (option B or D), the sum rounds to 5.
  • If the first number rounds to 1 and the second number rounds to 5 (option A or C), the sum rounds to 6.

To choose the correct answer, we look at the answer Tracy provided and see how it compares to the rounded sum derived from the numbers.

Without specific values or Tracy's actual answer, there’s no definitive way to determine which option is correct. However, you can analyze the rounding logic presented in each option to see which aligns with the values you are given.

If you have the specific numbers and Tracy's answer, please provide them for a precise conclusion!