URGENT NEED HELP A bike rental company charges a flat fee plus an hourly rate,
Emma rented a bike for 4 hours and paid £18. Louise rented a bike for 7 hours and paid £25.50.

a How much was the cost per hour to rent a bike?
b How much was the flat fee to rent a bike?
c Michael rents a bike for 2 hours. How much does it cost?

Emma:

Number of hours = 4

Total cost = 18

Where x is the cost per hour n and y is the flat fee

18 = 4x + y

Louise:

number of hours = 7

total cost = 25.50

25.50 = 7x + y

We have the system of equation:

18 = 4x + y

25.50 = 7x + y

Solve the first equation for y

18-4x = y

y = 18-4x

Replace y on the second equation; and solve for x

25.50 = 7x + (18-4x)

25.50 = 7x + 18 -4x

25.50 = 3x + 18

25.50 - 18 = 3x

7.5 = 3x

7.5/3 = x

2.5 = x

a. Cost per hour = $2.5

Now, replace x on any equation and solve for y

18 = 4x + y

18 = 4 (2.5) + y

18 = 10 +y

18 - 10 = y

8 = y

b. Flat fee = $8

c. Use the equation:

Cost = flat fee + cost per hourx (number of hour)

Cost = 8 + 2.5 (2)

Cost = 8 + 5 = $13