Answer:
An equation to model this scenario is;
[tex]44h=114.4[/tex]Explanation:
Given that Thanh is driving an average of 44 miles per hour, and he is 114.4 miles away from home;
[tex]\begin{gathered} \text{Average speed }v=44\text{mph} \\ \text{distance }d=114.4miles \end{gathered}[/tex]Recall that the distance traveled by an object moving at average speed can be calculated as;
[tex]\text{Average speed }\times\text{ time }=\text{ Distance}[/tex]Let h represent the number of hours before Thanh reach home.
Then we have;
[tex]\begin{gathered} v\times h=d \\ \text{substituting;} \\ 44\times h=114.4 \\ 44h=114.4 \end{gathered}[/tex]Therefore, an equation to model this scenario is;
[tex]44h=114.4[/tex]