Task 4

Near the office where your father works, there are two car parks A and B.

In car park A, it costs 4 AED to park for the first hour, and an extra 11 AED for each hour after that.

In car park B, it costs 6 AED to park for the first hour, and an extra 5 AED for each hour after that.

Your dad turned to you for help in order to choose the cheaper car park. You-having learnt about linear equations, rates of change, and slopes- went to work on solving your father’s problem. You decided to illustrate the solution of the problem to your father in three ways: in table of values, graph and algebraic solution.

1) Write a linear equation that models the number of hours parked as the independent variable and amount money paid as the dependent variable in each of the car park.

(A)

(0,4)

m=11

 y-y=m(x-x)

(y-4)=11(x-0)

y-4=11x-0

y-4=11x

y=11x+4

(B)

(0,5)

m=4

y-y=m(x-x)

(y-6)=5(x-0)

y-6=5x-0

y-6=5x

y=5x+6

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