The expression 6x+15 represents the total cost of a bicycle rental. when danny rents a bike for 2 hours, the total cost of his rental is $27. what does the coefficient 6 represent

The rental charge per hour. The rental fee of 6x+15 is split into 2 parts, a fixed overhead of $15 to just rent the bike, plus an additional fee of $6 for each hour that you have the bike. To show this, plug in the value of 2 for the number of hours Danny rented the bike. x = 6 * 2 + 15 x = 12 + 15 x = 27 And since Danny was charged $27, the figures match. So the coefficient of 6 represents the hourly rental rate.

Greetings!

There is only one Solution to the system of equation as there is only one POI (Point of Intersection.)

Hope this helps.
-Benjamin