Question

When Sara solved this problem, she got 2/5 of a mile for her answer. Is this a reasonable answer? Why or why not?

Options:
a. Yes, because it's a fraction.
b. No, because the answer should be in miles.
c. Yes, because it's close to 1/2.
d. No, without more context, it's unclear.

Answer 1

Sara's answer of 2/5 of a mile cannot be determined as reasonable without additional context from the problem, such as the proportions or scale factors involved in the scenario.

Step-by-step explanation:

When deciding if Sara's answer of 2/5 of a mile is reasonable, additional context from the problem is required. Merely stating that the answer is a fraction, is in miles, or is close to 1/2 does not provide enough information to assess its validity. It's important to consider the specific ratios or proportions given in the problem scenario. For instance, if a problem involves a scale factor or a conversion from one unit to another, then the reasonableness of the answer will depend on how those elements are applied.

For example, if the context includes a scale such as 1 inch representing a certain number of miles on a map, then the answer must be derived by setting up a proportion. Without knowing the original proportions or distances involved, we cannot determine if her answer is indeed reasonable. Therefore, the correct option is d. No, without more context, it's unclear.