The table shows the outputs y for different inputs x:

Input. (x) 3 7 11 15.

Output. (y) 4 6 8 10

Answer the following:

Part A: Do the data in this table represent a function? Justify your answer.

Part B: Compare the data in the table with the relation f (x) = 5x - 21. Which relation has a greater value when x = 11?

Part C: Using the relation in Part B, what is the value of x if f (x) = 99?

Question

Mathematics

Adelaide Moody

23 January, 22:16

The table shows the outputs y for different inputs x:

Input. (x) 3 7 11 15.

Output. (y) 4 6 8 10

Answer the following:

Part A: Do the data in this table represent a function? Justify your answer.

Part B: Compare the data in the table with the relation f (x) = 5x - 21. Which relation has a greater value when x = 11?

Part C: Using the relation in Part B, what is the value of x if f (x) = 99?

+3

Answers (1)

Know the Answer?

Judah Preston · Answer 1

Part A : Yes the data in this table represent a function and that is because the value of "x" keeps changing.

Part B:

f (x) = 5x - 21

f (11) = 5 (11) - 21

= 55 - 21

= 34

Part C:

f (x) = 5x - 21

99 = 5x - 21

5x = 99 + 21

5x = 120

x = 24

I hope that the procedure is clear for you to understand and this is the answer that you were looking for.