Answer:
Part A)
C = 2.75n + 3.00
C = 1.75n + 7.00
Part B)
Graph attached
Part C)
4 hours
Step-by-step explanation:
Part A)
As stated in the question, C represents the cost and n represents the time rented. The variable "n" should be multiplied by the cost per hour because this is the value that changes over time. The deposit value should be added as a constant because it is a one-time flat fee.
Part B)
To graph the system, use the constant/the flat fee as the y-intercept and use the cost per hour as the slope.
Part C)
The time where Bike Shop X is the better option will be at the solution of the system, or where they intersect. The easiest way to find this is to look for the intersection on the graph. You could also solve using substitution or elimination. In this case, the graphs intersect at (4,14). Since the x value represents the time, the bike shop X costs the same at 4 hours.
