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Which is the most accurate way to estimate [tex]$85\%$[/tex] of [tex]$368$[/tex]?

A. [tex]\frac{1}{5} \times 370[/tex]
B. [tex]\frac{19}{20} \times 360[/tex]
C. [tex]\frac{2}{3} \times 360[/tex]
D. [tex]\frac{17}{20} \times 360[/tex]

Answer :

To find the most accurate way to estimate 85% of 368, we need to evaluate each option and see which is closest to the actual value of 85% of 368.

First, calculate 85% of 368:

[tex]\[ 0.85 \times 368 = 312.8 \][/tex]

Now let's evaluate each option:

1. Option 1: [tex]\(\frac{1}{5} \times 370\)[/tex]
- Compute: [tex]\( \frac{1}{5} \times 370 = 74.0 \)[/tex]

2. Option 2: [tex]\(\frac{19}{20} \times 360\)[/tex]
- Compute: [tex]\( \frac{19}{20} \times 360 = 342.0 \)[/tex]

3. Option 3: [tex]\(\frac{2}{3} \times 360\)[/tex]
- Compute: [tex]\( \frac{2}{3} \times 360 = 240.0 \)[/tex]

4. Option 4: [tex]\(\frac{17}{20} \times 360\)[/tex]
- Compute: [tex]\( \frac{17}{20} \times 360 = 306.0 \)[/tex]

Next, compare each result with the actual value of 312.8 and determine the closest one:

- Option 1: 74.0 is much lower than 312.8.
- Option 2: 342.0 is higher than 312.8 but reasonably close.
- Option 3: 240.0 is lower than 312.8.
- Option 4: 306.0 is the closest to 312.8.

Thus, the most accurate estimate for 85% of 368 is provided by Option 4: [tex]\(\frac{17}{20} \times 360 = 306.0\)[/tex].

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