Final answer:
The value of M(19) - M(15) is -32, which is found by substituting the values into the function M(x) = x(60 - 2x) and calculating the difference.
Step-by-step explanation:
The value of M(19) - M(15) can be found by calculating the change (M) using the function M(x) = x(60 - 2x).
To find M(19), substitute x with 19:
M(19) = 19(60 - 2*19) = 19(60 - 38) = 19(22) = 418.
Next, find M(15) by substituting x with 15:
M(15) = 15(60 - 2*15) = 15(60 - 30) = 15(30) = 450.
Now, subtract M(15) from M(19) to get the change (M):
M(19) - M(15) = 418 - 450 = -32.
The result is that M(19) - M(15) equals -32.