Let's analyze each option step by step to determine which equation correctly models the total cost for using A1 Car Share.
1. Understanding the problem:
- There is a fixed yearly fee of [tex]$129.
- In addition to the fixed fee, there is a charge of $[/tex]16 per hour for using the car.
2. Formulating the equation:
- We need an equation that takes into account both the fixed fee and the hourly charge.
- Let [tex]\( t \)[/tex] represent the total cost and [tex]\( h \)[/tex] represent the number of hours of car usage.
3. Option A: [tex]\( t = 129 + 16h \)[/tex]
- This equation suggests that the total cost [tex]\( t \)[/tex] is the sum of the fixed fee ([tex]$129) and the product of the hourly rate ($[/tex]16) and the number of hours ([tex]\( h \)[/tex]).
- This correctly incorporates both the fixed fee and the variable hourly cost.
4. Option B: [tex]\( t = \frac{129}{16} \)[/tex]
- This equation suggests that the total cost [tex]\( t \)[/tex] is the fixed fee divided by the hourly rate.
- This does not make sense in the context of the given problem since it does not account for the variable cost due to hours of usage.
5. Option C: [tex]\( t = 129h + 16 \)[/tex]
- This equation suggests that the fixed fee should be multiplied by the number of hours, and then $16 is added.
- This is incorrect because the fixed fee should not vary with the number of hours.
6. Conclusion:
- From the analysis, Option A ([tex]\( t = 129 + 16h \)[/tex]) correctly models the total cost for using A1 Car Share.
- Therefore, the correct answer is:
[tex]\[ \boxed{A} \][/tex]
