Answer:
If we ignore the fact that Function 2 has a negative slope, then Function 2 has the greater rate of change.
Explanation:
Function 1 has the rate of change m = 2/5, because every increase of 2 in y occurs in conjunction with an increase in x of 5.
Function 2 is a decreasing function (that is, its slope is negative). As we move from (0, 3) to (4.5, 0), x increases by 4.5 and y decreases by 3. Hence, the slope of Function 2 is m = rise / run = -3/4.5, or m = -2/3.
The absolute values of the slopes of the two functions are 2/5 and 2/3 respectively. If we ignore the fact that Function 2 has a negative slope, then Function 2 has the greater rate of change.
But if we take into account the signed number -2/3, then Function 1 has the greater slope because it's positive whereas that of Function 2 is negative.