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

To find 15 Beau found 32 9 and 4 16 He said that since 15 is between 9 and 1615 must be between 3 and 4 He thinks a good estimate for 15 is 34 35 Is Beaus estim class=

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Answer:

Answer: His estimate was low

Step-by-step explanation:

It's true that √16 is 4 and that √9 is 3

for √15 :

[tex] \sqrt{15} = 3.9[/tex]

It's true that √15 lies between 3 and 4

[tex] \sqrt{15} : 3 < x < 4[/tex]

Estimated answer :

[tex] = 3.5[/tex]

Exact answer :

[tex] = 3.9[/tex]

Therefore, the error:

[tex] \delta x = 3.9 - 3.5 \\ \\ = 0.4[/tex]

Since error is less than 0.5, his estimation was moderate, [ low ]

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