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Mateo rented a bike for $37. It costs $4 per hour, h, with an automatic charge of $13 to rent the bike.

Which equation can be used to find out the number of hours, h, Mateo rented the bike?
A. 4h+37=13
B. 4h+13=37
C. 4h-47=13
D. 4h-13=37

1 answer

To find the equation that represents the situation, we need to analyze the costs involved in renting the bike.

The rental cost for the bike consists of two parts:

  1. An automatic charge of $13 to rent the bike.
  2. An additional charge of $4 per hour for the time the bike is rented (which we denote as \( h \)).

The total cost for renting the bike can be expressed as: \[ \text{Total Cost} = (\text{Base Cost}) + (\text{Hourly Cost}) \] \[ \text{Total Cost} = 13 + 4h \]

According to the problem, Mateo rented the bike for a total of $37. Therefore, we set up the equation: \[ 13 + 4h = 37 \]

To match this with the given options:

  • Rearranging that equation gives: \[ 4h + 13 = 37 \]

This corresponds to option B. So the correct answer is: B. 4h + 13 = 37