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

Step-by-step 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 - 21when x = 11

                  f(11) = 5(11) - 21

                  f(11) = 55 - 21

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

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

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

   99 = 5x - 21

   99 + 21 = 5x

   120 = 5x

   120/5 = x

   24 = x <

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3