Question

Part A: Nadia rented a stage platform at $410 for 4 days. If she rents the same stage platform for 8 days, she has to pay a total rent of $770. Write an equation in the standard form to represent the total rent (y) that Nadia has to pay for renting the stage platform for x days.

Answer 1

Thank you so much for helping me out. :D

Answer 2

Standard form equation is y=Ax + B where A and B are numbers. So u have to calculate them. This is done by using the two cases:

410 = A*(4) + B
770 = A*(8) + B

Subtract the two equations and u will find A; then calculate B to get ur answer :)

Answer 3

a represents
b represents

Answer 4

Just two fixed numbers in ur standard equation but u have to find them in this case.

Answer 5

ok can you help me with two other related questions?

Answer 6

Sure i can try :)

Answer 7

Write the equation obtained in Part A using function notation.

Answer 8

Part a is what i first posted

Answer 9

Hehee u need 2 calculate A and B to get the standard equation first...

Then the function notation is easy!

Answer 10

ya btw i really dont understand how to find a or b

Answer 11

u said to subtract the equations but wat part

Answer 12

The whole parts - both sides of the = sign. Try it n tell me wat u find.

Answer 13

ok

Answer 14

770 - 410= 360
8 - 4= 4

Answer 15

OK good job @Polkadotgamer :)

So after subtraction, u get: 360 = 4A right? What is the value of A then?

Answer 16

90

Answer 17

360/4=90

Answer 18

heheee almost there - what is B then?

Answer 19

no clue i think 4

Answer 20

Put A=90 back in the first equation, what is B?

Answer 21

50

Answer 22

for both equations

Answer 23

410 = 90*(4) + B
B = 50
770 = 90*(8) + B
B = 50

Answer 24

VERY GOOD :) So the standard equation is what now?

Answer 25

so how about the function notation

Answer 26

Gimme the standard eqn first plz? :D

Answer 27

410 = 90*(4) + B B = 50 770 = 90*(8) + B B = 50

Answer 28

410 = 90*(4) + 50 770 = 90*(8) + 50

Answer 29

Hmmm....nope....the standard equation that shows x and y....

Answer 30

There should only be one....

Answer 31

i thought we could do both but i guess 410 = 90*(4) + 50

Answer 32

But where is x and y in ur eqn?

Answer 33

idk

Answer 34

rent (y) that Nadia has to pay for renting the stage platform for x days

Answer 35

yup yup so keep x and y but replace A and B with what u have calculated....

Answer 36

so 410 is y and x is 4

Answer 37

Nope....hmmm....do u know what is variable and what is constant in an equation?

Answer 38

a variable changes and a constant stays the same

Answer 39

the variable is 4?

Answer 40

yup yup so 4 cannot be a variable cuz' it does not change....x on the other hand is a variable. got it?

Answer 41

yes so after that?

Answer 42

So write out the equation with x, y as the variables and A, B as constants from wat u have calculated...

Answer 43

a = x*(b) + y

Answer 44

Go back to my first post and see what the equation looks like, then replace A, B with ur answers

Answer 45

thats what i did

Answer 46

The equation is y=Ax + B.....

Answer 47

omgosh

Answer 48

got it? :D :D :D

Answer 49

so thats the answer to the first question and all u do for the second question is replace y with f of x

Answer 50

Congrats @Polkadotgamer u just solve ur prob :D

Answer 51

omygosh

Answer 52

Wait wait wait show me the standard equation 1st plz?

Answer 53

y=Ax + B