Answers:
A. It is a function
B. f(x) = 5x - 21 has a greater value when x = 11
C. x = 24
Step-by-step explanation:
Part A.
A relation is a function if each value of the input is related to only one value of the output. In this case, the input doesn't have repeated values, so the table represents a function.
Part B.
In the table, when x = 11, y = 8
On the other hand, when x = 11, f(x) = 5x - 21 is equal to
f(x) = 5x - 21
f(11) = 5(11) - 21
f(11) = 55 - 21
f(11) = 34
Then, f(x) = 5x - 21 has a greater value when x = 11 because 34 is greater than 8.
Part C.
To find the value of x when f(x) = 99, we need to solve the following equation:
f(x) = 5x - 21
99 = 5x - 21
Solving for x, we get
99 + 21 = 5x - 21 + 21
120 = 5x
120/5 = 5x/5
24 = x
So, if f(x) = 99, x = 24