Answer:
The correct option is B
Step-by-step explanation:
Lets put the values in the given function one by one: You will get the answer
f(x)=-(x - 20)(x - 100)
The first option is 20. Substitute the value in the function:
f(x)=-(20-20)(20-100)
f(x)=(- 0)(-80)
f(x)= 0
Second option is 60.
Substitute the value in the function
f(x)=-(x - 20)(x - 100)
f(x)=-(60 - 20)(60 - 100)
f(x)=(-40)(-40)
f(x)=160
Third option is 80:
Substitute the value in the function
f(x)=-(x - 20)(x - 100)
f(x)=-(80 - 20)(80 - 100)
f(x)=(-60)(-20)
f(x)=120
Fourth option is 100:
Substitute the value in the function
f(x)=-(x - 20)(x - 100)
f(x)=-(100 - 20)(100 - 100)
f(x)=(-80)(0)
f(x)= 0
Therefore the values we got are 0, 160, 120, 0
The greatest value is 160.
Thus the correct option is B....
