Answer :

To determine Nathan's average speed, we need to calculate how many miles he drove per hour over the course of his journey.

Here is a step-by-step solution for this problem:

1. Identify the given values:
- Total distance driven: [tex]\(232\)[/tex] miles.
- Total time spent driving: [tex]\(8\)[/tex] hours.

2. Understand the formula for average speed:
[tex]\[ \text{Average speed} = \frac{\text{Total distance}}{\text{Total time}} \][/tex]

3. Substitute the known values into the formula and solve for average speed:
[tex]\[ \text{Average speed} = \frac{232 \, \text{miles}}{8 \, \text{hours}} \][/tex]

4. Perform the division:
[tex]\[ \text{Average speed} = 29 \, \text{miles per hour} \][/tex]

Thus, Nathan's average speed was [tex]\(29\)[/tex] miles per hour.