To find Christy's average speed, we need to divide the total distance she traveled by the total time it took her. Here are the steps to solve this problem:
1. Convert the time to a single decimal number:
Christy drove for [tex]\(2 \frac{3}{4}\)[/tex] hours. First, convert the mixed number to an improper fraction:
[tex]\[
2 \frac{3}{4} = 2 + \frac{3}{4}
\][/tex]
Convert the fraction to a decimal:
[tex]\[
\frac{3}{4} = 0.75
\][/tex]
Add this decimal to 2:
[tex]\[
2 + 0.75 = 2.75 \text{ hours}
\][/tex]
2. Calculate the average speed by dividing the total distance by the total time:
[tex]\[
\text{Average speed} = \frac{\text{Total distance}}{\text{Total time}}
\][/tex]
[tex]\[
\text{Average speed} = \frac{132 \text{ miles}}{2.75 \text{ hours}}
\][/tex]
3. Perform the division:
[tex]\[
\text{Average speed} = \frac{132}{2.75} \approx 48 \text{ miles per hour}
\][/tex]
Therefore, Christy's average speed was 48 miles per hour.
So, the correct answer is:
A. 48 miles per hour
