Question

The table shows the values of y for each value of x:

Part A: Does the table represent a relation that is a function? Justify your answer by using the values shown in the table.

Part B: The function f(h) shown below represents Kylie's total earning from working in a cafe for h hours of work:

f(h) = 15h + 5

Calculate and interpret the meaning of f(8)?

Part C: Write an ordered pair to represent the input and output of the function in Part B when Kylie works for r hours.

Answer 1

@ganeshie8

Answer 2

Look at the first column in given table

Answer 3

Are there any repeated "x" values ?

Answer 4

no

Answer 5

that means this relation is a function - because no x value is pointing to two different y values

Answer 6

ok.

Answer 7

we're done wid part A

Answer 8

did u try partB yet ? :)

Answer 9

for b do i do f(h) = 15 x 8 + 5?

Answer 10

Excellent ! and what does f(8) represent ?

Answer 11

f(h)?

Answer 12

or her work hours

Answer 13

try again

Answer 14

the value of f(8) represents her `earning for 8 hours of working`

Answer 15

which is $125?

Answer 16

f(h) = 15h + 5

f(8) = 15*8 + 5
= 120 + 5
= 125

Answer 17

Yes ! she earns $125 if she works for 8 hours

Answer 18

yay that was quick

Answer 19

yes, to the partc

Answer 20

the exam i'm doing has a few more questions can you help me finish them?

Answer 21

u finished partC already ?

Answer 22

Part C? i thought the ordered was

f(8) = 15*8 + 5
= 120 + 5
= 125

Answer 23

ohh ok. On to part C now :D

Answer 24

nope, that was for partB

Answer 25

ordered pair looks like this : \(\large (x, y )\)

Answer 26

i thought so.

Answer 27

Since we're given f(h) = 15h+5,
the ordered pair for working "r" hours would be ?

Answer 28

15 and 5

Answer 29

it would be \((r, ~15r+5)\)

Answer 30

oh ok that makes sense.

Answer 31

Winnie rented a room at $250 per week. She also had to pay a deposit of $1200.

Part A: Write a function to show the total amount of money f(n) that Winnie has to pay for renting the room for n weeks.

Part B: What is the total rent that Winnie has to pay for using the room for 12 weeks?

Part C: If the deposit amount decreases by $100, what would be the total rent for 6 weeks?

Answer 32

so the fixed payment in the start is 1200

Answer 33

yes

Answer 34

and every week she has to pay $250 more

Answer 35

so if she stays "n" weeks, she has to pay : 250n

Answer 36

yup

Answer 37

can u cook up the function for total amount ?

Answer 38

here is the function :
f(n) = 1200 + 250n

Answer 39

see if that makes sense...

Answer 40

we're done, we dont need to solve anything here.
the question is just asking for creating the function

Answer 41

the function is : f(n) = 1200 + 250n
we're done wid partA.

Answer 42

alright. yay to part b now

Answer 43

simply plugin n = 12 in above equation and evaluate

Answer 44

so f(n) = 1200 + 250 x 12

Answer 45

Yes !

Answer 46

she has to pay $4200

Answer 47

would f(n) be 4200?

Answer 48

yes u need to say f(12) is 4200

Answer 49

f(n) is 1200 + 250n
and f(12) is 4200

Answer 50

ok cool. part c now! :)

Answer 51

oh ok i see.

Answer 52

good, they decreased the deposit amount by $100
so the new fixed deposit amount would be 1100 instead of 1200, right ?

Answer 53

yes

Answer 54

can u create the new function now ?

Answer 55

f(n) = ?

Answer 56

i can try

Answer 57

f(n) = 1200 - 100?

Answer 58

or like f(n) = 1100..

Answer 59

thats just the fixed payment in the start
what about the weekly payment ? u dont want to pay weekly rent ha ?

Answer 60

the new function is :

f(n) = 1100 + 250n

Answer 61

plugin n = 6,
to get how much total money u need to pay for 6 weeks

Answer 62

i was gonna say that but yeah..

Answer 63

f(n) = 1100 + 250 x 6

2600

Answer 64

2600 is \(\large \color{red}{\checkmark}\)

Answer 65

whoo!!

Answer 66

I see you're very good at arithmetic :)

Answer 67

sometimes

Answer 68

hahh okay i gtg eat something...

Answer 69

ok bye

Answer 70

thanks for the help

Answer 71

yw