mateo rented a bike for 37$. it cost 4$ an hour, h, with an automatic charge of 13$ to rent the bike. which equation can be used to find out the numbers of hours, h, Mateo rented the bike

1 answer

To find the number of hours \( h \) that Mateo rented the bike, we can set up an equation based on the cost structure provided.

The total cost of renting the bike is made up of two components:

  1. A fixed charge of $13 to rent the bike.
  2. A variable charge of $4 for every hour \( h \).

Thus, the total cost \( C \) can be expressed as:

\[ C = 13 + 4h \]

Given that Mateo paid $37 in total to rent the bike, we can set up the equation:

\[ 13 + 4h = 37 \]

This equation can be used to find the number of hours \( h \) that Mateo rented the bike.