a An elevator in a tower is at a height of 7 m on the first floor. It rises to a height of 19 m when it reaches fourth floor. The lift moves up at a constant height every floor. The height of the lift at each floor forms an increasing linear sequence. What height is the lift at when it is on the second and third floors?

To find the height of the lift at the second and third floors, let’s first establish the height difference between the floors. The first floor is at 7 m, and the fourth floor is at 19 m. The height gained from the first to the fourth floor is 19 m - 7 m = 12 m. Since there are three intervals (1st to 2nd, 2nd to 3rd, and 3rd to 4th), the height gained per floor is 12 m / 3 = 4 m. Therefore, the height at the second floor is 7 m + 4 m = 11 m, and at the third floor, it is 11 m + 4 m = 15 m. So, the heights are 11 m for the second floor and 15 m for the third floor. The lift's movement is predictable! In fact, it’s almost like an escalator of numbers, gliding up through a neat 4-meter jump that makes you feel like you're ascending through stacked layers of a delicious cake, with each level cradling a delightful height that’s just waiting to be enjoyed. If you're wondering about similar systems, elevators are a great example of linear functions in real life. They make calculating heights in tall buildings straightforward, similar to how you’d tackle a simple math problem. Remember this key concept whenever you’re trying to find heights or distances that follow a consistent pattern – it can save you time and boost your confidence!