To determine the correct equation that models the total cost for the use of A1 Car Share, let's break down the problem into manageable steps:
1. Identify Fixed and Variable Costs:
- The fixed cost is the yearly fee, which is [tex]$129. This cost does not depend on the number of hours the car is used.
- The variable cost is the $[/tex]16 per hour charge for using the car. This cost depends directly on the number of hours the car is used.
2. Define Variables:
- Let [tex]\( t \)[/tex] represent the total cost.
- Let [tex]\( h \)[/tex] represent the number of hours the car is used.
3. Formulate the Equation:
- The total cost [tex]\( t \)[/tex] is the sum of the fixed cost (yearly fee) and the variable cost (hourly charge multiplied by the number of hours).
- Therefore, the equation can be expressed as:
[tex]\[
t = 129 + 16h
\][/tex]
4. Compare with Given Options:
- Option A is [tex]\( t = 129 + 16h \)[/tex].
- Option B is [tex]\( t = \frac{129}{16} \)[/tex], which does not correctly account for the $16 per hour charge.
- Option C is [tex]\( t = 129h + 16 \)[/tex], which incorrectly places the hourly cost before the yearly fee.
- Option D is "None of the above".
Given our formulation, the correct equation that models the total cost for the use of A1 Car Share is:
[tex]\[
\boxed{t = 129 + 16h}
\][/tex]
Thus, the correct answer is Option A.
