To find the total size of the Brannon Heights development, we need to multiply the size of each lot by the number of lots. Here is the step-by-step process:
1. Determine the size of each lot:
Each lot is given to be [tex]\(\frac{5}{8}\)[/tex] acre in size.
2. Identify the number of lots:
The development consists of 6 identical lots.
3. Multiply the size of each lot by the number of lots to find the total size:
[tex]\[
\text{Total size} = \left(\frac{5}{8} \text{ acre}\right) \times 6
\][/tex]
This multiplication can be carried out as follows:
[tex]\[
\left(\frac{5}{8}\right) \times 6 = \frac{5 \times 6}{8} = \frac{30}{8}
\][/tex]
4. Simplify [tex]\(\frac{30}{8}\)[/tex]:
To simplify [tex]\(\frac{30}{8}\)[/tex], we divide the numerator by the denominator:
[tex]\[
\frac{30}{8} = 3.75
\][/tex]
Therefore, the size of the Brannon Heights development is [tex]\(3.75\)[/tex] acres.
Now, we need to match [tex]\(3.75\)[/tex] acres to the correct option from the provided choices. The fraction [tex]\(3.75\)[/tex] can be written as a mixed number:
[tex]\[
3.75 = 3 \frac{3}{4}
\][/tex]
Thus, the correct answer is:
[tex]\[
\boxed{3 \frac{3}{4}}
\][/tex]
