Step-by-step explanation:
Increasing linear functions are equations of the form y = mx + c, where m > 0.
Therefore y = -0.5x + 0.5 is not increasing.
We have the following line slopes:
- y = 2.5x + 10, m = 2.5
- y = 1.5x - 5.5, m = 1.5
- y = 0.5x - 2, m = 0.5
- y = 4/3 x - 7/3, m = 4/3
- y = 0.75x - 10, m = 0.75
The slopes in increasing order
are 0.5, 0.75, 4/3, 1.5 and 2.5 respectively.
Hence we have the answers for the boxes starting from the bottom-up:
- y = 0.5x - 2 (4th box)
- y = 0.75x - 10 (Last box)
- y = 4/3 x - 7/3 (5th box)
- y = 1.5x - 5.5 (3rd box)
- y = 2.5x + 10 (1st box)
