Question

he table shows the outputs y for different inputs x:


Input
(x) 5 6 7 8
Output
(y) 2 5 8 11


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) = 2x + 13. Which relation has a greater value when x = 7? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) = 75? (5 points)


Help Please will give medal

Answer 1

Use the slope formula for part A

\(\dfrac{6-5}{5-2}\)

Answer 2

you get 1/2

Answer 3

Not 1/2

Answer 4

5-2 = ?

Answer 5

so sorry three

Answer 6

1/3

Answer 7

My bad
Flip it
so it would be 3

Answer 8

Should be \(\dfrac{5-2}{6-5}\)

Answer 9

Next 2 ordered pairs

\(\dfrac{11-8}{8-7}=?\)

Answer 10

3/1

Answer 11

so both are 3

that's a function

Answer 12

So for Part A put this:

Yes it is a function because the rate of change is 3

Answer 13

For part B, put 7 instead of x

f(7) = 2 * 7 + 13 = ?

Answer 14

okay thank you im understanding better

Answer 15

the answer would be 27

Answer 16

Ok so when x = 7, y = 27

in the other function, when x = 7, y = 8

Answer 17

Which one is greater when x = 7?

Answer 18

um i suppose when y is 27

Answer 19

Correct :)

Answer 20

So for Part B put:

the relation f(x) = 2x + 13 is greater when x = 7

Answer 21

okay last one

Answer 22

For that, we put 75 instead of f(x) and solve for x

75 = 2x + 13

Answer 23

Any idea how to solve?

Answer 24

um get x by itself

Answer 25

Yes
How would we do that?

Answer 26

Not sure tbh i think subtract 75 and 13

Answer 27

good

75 - 13 = ?

Answer 28

is 62

Answer 29

Yep
now divide by 2

Answer 30

31

Answer 31

so the value of x is 31

Answer 32

so how would it look

Answer 33

For part c, just put
When the value of x is 31

Answer 34

ok