2022 ACSI EOY P2 Q2

A mobile company charges a fixed rate of \(x\) cents per minute for the first \(120\) minute of talk time and another rate of \(y\) cents per minute for each additional minute.
Maggie paid \(\$27.60\) and \(\$38.40\) for \(240\) minutes and \(300\) minutes of talk time respectively on two separate occasions.

1. Form a pair of simultaneous linear equations in \(x\) and \(y\).

   [2]

2. Solve the equations to find the value of \(x\) and of \(y\).

   [3]

3. Find the amount to pay when the talk time is \(110\) minutes.

   [1]

4. Find the total talk time when the amount paid is \(\$24\).

   [2]