Cecilia wants to rent a bike while on vacation. She also needs to rent a helmet. Rates for two bike rental shops re shown below.
Bernie's Bikes: $5 for the helmet plus
$3 per hour for bike rental
Bike Land: free helmet rental plus
$4 per hour
A. Let y represent the total cost of renting a bike and helmet, in dollars. Let x represent the number of hours that Cecilla rents a bike and a helmet.
Write a system of equations to represent this problem.
Then graph the system on the coordinate grid below.
B. For how many hours would Cecilla rent a bike and a helmet in order for the total cost to be the same at both shapes? What would that total cost be?
Use the solution for the system of linear equations to explain your answer.