Question

The table shows the outputs, y, for different inputs, x:Input(x)371115Output(y)46810Part A: Do the data in this table represent a function? Justify your answer. (3 points)Part B: Compare the data in the table with the relation f(x) = 5x − 21. Which relation has a greater value when x = 11? (2 points)Part C: Using the relation in Part B, what is the value of x if f(x) = 99? (5 points)(10 points)

Answer 1

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