To determine if the slots between the bars on the baby's crib are too wide, and if so, by how much, follow these steps:
1. Convert the maximum allowable slot width to a decimal:
The safety regulation specifies that slots must not be more than [tex]\( 3 \frac{1}{8} \)[/tex] inches.
- Convert [tex]\( 3 \frac{1}{8} \)[/tex] to a decimal:
[tex]\[
3 \frac{1}{8} = 3 + \frac{1}{8}
\][/tex]
[tex]\[
\frac{1}{8} = 0.125
\][/tex]
[tex]\[
3 + 0.125 = 3.125
\][/tex]
So, the maximum allowable slot width is 3.125 inches.
2. Compare the measured slot width with the maximum allowable width:
The crib's slot is measured to be 3.9 inches.
- Check if 3.9 inches is greater than 3.125 inches:
[tex]\[
3.9 \text{ inches} > 3.125 \text{ inches}
\][/tex]
Since 3.9 inches is greater than 3.125 inches, the crib slot is too wide.
3. Calculate by how much the crib slot exceeds the maximum allowable width:
Subtract the maximum allowable width from the measured width:
[tex]\[
\text{Measured slot width} - \text{Maximum allowable width} = 3.9 - 3.125
\][/tex]
[tex]\[
3.9 - 3.125 = 0.775
\][/tex]
So, the crib slot is indeed too wide, and it exceeds the maximum allowable width by 0.775 inches.
The correct option is:
A. Yes, it is too wide by 0.775 inches
