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is best represented by the point g? a (sqrt{7.9}) b (sqrt{62.5}) c (sqr…

Question

is best represented by the point g?
a (sqrt{7.9})
b (sqrt{62.5})
c (sqrt{63.8})
d (sqrt{64.9})

Explanation:

Step1: Identify point G's value

Point G is at 7.9 (since each tick between 7 and 8 is 0.25, G is 1 tick left of 8: $8 - 0.1 = 7.9$)

Step2: Square the value of G

$7.9^2 = 62.41$

Step3: Match to closest option

Compare to options:

  • $\sqrt{7.9} \approx 2.81$, too small
  • $\sqrt{62.3} \approx 7.89$, closest to 7.9
  • $\sqrt{60.8} \approx 7.80$, further from 7.9
  • $\sqrt{54.9} \approx 7.41$, further from 7.9

Answer:

B. $\sqrt{62.3}$