Question

The table shows the outputs, y, for different inputs, x: Input (x) 3 7 11 15 Output (y) 4 6 8 10 Part 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) Show/hide advanced buttons

Answer 1

Explanation:

x (3,7,11,15)

y (4,6,8,10)

A. This IS a function because u have no repeating x values

B. Data in table :

when x = 11, y = 8

relation : f(x) = 5x - 21....when x = 11

f(11) = 5(11) - 21

f(11) = 55 - 21

f(11) = 34.....so when x = 11, y = 34

therefore, the relation f(x) = 5x - 21 has a greater value then the table

C. f(x) = 5x - 21......f(x) = 99

99 = 5x - 21

99 + 21 = 5x

120 = 5x

120/5 = x

24 = x <====