to rent a corvette cost $5 per mile (m)driven plus a $100 rental fee. The total cost (t) is the sum of miles driven plus the rental fee. Translate the words into an algebraic equation.

Answer 1

To translate the given scenario into an algebraic equation, we can follow these steps:

1. Identify the variables:

   • Let \( m \) represent the number of miles driven.
   • Let \( t \) represent the total cost.

2. Set up the equation:

   • The cost per mile is $5, so for \( m \) miles driven, the cost is \( 5m \).
   • There is also a fixed rental fee of $100.

3. Combine these costs: The total cost \( t \) can thus be expressed as:

\[ t = 5m + 100 \]

So, the algebraic equation that represents the total cost is:

\[ t = 5m + 100 \]