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

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true