Question

Analyze Relationships To find 15, Beau found 32 = 9 and 42 = 16. He said that since 15 is between 9 and 16, V15 must be between 3 and 4. He thinks a good estimate for V15 is 374 = 3.5. Is Beau's estimate high, low or correct?

Answer 1

Beau's estimate for V15 is incorrect.

Step-by-step explanation:

Beau's estimate for V15 is incorrect.

To find an estimate for V15, Beau used the relationships 32 = 9 and 42 = 16. He reasoned that since 15 is between 9 and 16, V15 must be between 3 and 4. However, this assumption is not correct. Just because two given numbers have a certain relationship, it does not mean that the same relationship holds for other numbers between them.

To find the estimate for V15, we need to consider the relationship between the given numbers and the relationships between other values. In this case, we don't have enough information to determine the exact value of V15. Therefore, Beau's estimate of V15 being 3.5 is not accurate.