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

Question

Which equation can be used to find out the number of hours, h, Mateo rented the bike?

(1 point)
Responses

4h−13=37
4 h minus 13 is equal to 37

4h+37=13
4 h plus 37 is equal to 13

4h−37=13
4 h minus 37 is equal to 13

4h+13=37
4 h plus 13 is equal to 37

Answer 1

To find the total cost of renting the bike, we need to combine the fixed charge of $13 with the hourly cost of $4 per hour for h hours.

The total cost can be expressed as:

\[ \text{Total Cost} = \text{Fixed Charge} + (\text{Hourly Rate} \times \text{Hours}) \] \[ \text{Total Cost} = 13 + 4h \]

According to the problem, Mateo rented the bike for a total of $37. Therefore, we can set up the equation:

\[ 13 + 4h = 37 \]

Now, if we rearrange this equation to isolate \(4h\), we subtract 13 from both sides:

\[ 4h = 37 - 13 \] \[ 4h = 24 \]

The equation that represents this situation is:

\[ 4h + 13 = 37 \]

So the correct response is:

4h + 13 = 37
(4 h plus 13 is equal to 37)