Question

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

Please HELP!!.

Answer 1

are you learning about exponents in your class?
does
y=ab^x sound familiar?

Answer 2

@MathLegend they leave when I try to help, lol

Answer 3

I never learned y=ab^x can you further explain this @DemolisionWolf ?

Answer 4

No I haven't heard of that...

Answer 5

@mathlegend
yep, so y=ab^x is the standard form to write a formula that reflects an exponential function. so, looking at a table made from the two 'points' given we have:
D | $
4 410
8 770
so we can tell that the relationship from one day to another day is not the same, so the function isn't linear, so i assumed it's going to be an exponent (but now looking, kaileam posted that it's not an exponential function, but for the sake of teaching you, i'll keep going)
so if we let x= Day and y=$cost then we can get a system of equations from the two known points.
410 = ab^4
770 = ab^8
we can solve these two equation with substitution and get
770 = (410/b^4)b^8
simplify
770/410 = b^4
b=1.17
back substitue
770=a(1.17^8)
a=219.28

so, had this question been about exponential functions, the solution function would have been
y=(219.28)1.17^x

make sense?

Answer 6

@kaileam are you guys learning about 'linear functions' or y=mx+b?

Answer 7

Yes I have learned that just not what you mentioned above

Answer 8

ok ^_^

Answer 9

@MathLegend
I jumped to conclusions too quickly when i first asked if it was an exponential function, because i'm so excited to use that formual I just learned last week, lol

Answer 10

I get that the question is asking to be written is standard form: Ax + By = C, it;s just that I don't know how to do that in this type of situation

Answer 11

@kaileam
i'll show you ^_^
we'll want to use the y=mx+b to figure this question out.
so lets say that days = x and cost = y
then we would have the points (4,410) and (8,770)
with these two points, we can first solve for the slope, then solve for b

Answer 12

@MathLegend
I made a slip up, i said in my post to you, 'we can see that the function is not linear' was wrong.

Answer 13

okay...

Answer 14

The slope is 90

Answer 15

can you find the slope between the two points?

Answer 16

right?

Answer 17

sorry! my computer was waaaaaay slow

Answer 18

so it would be y = 90x + 50

Answer 19

same here! I think it was a glitch

Answer 20

so then the final equation in standard form would be 90x - y = -50 right?

Answer 21

yep ^_^ good work

Answer 22

Thanks a lot! I really appreciate it!

Answer 23

ur welcome
hvae a good day ^_^

Answer 24

you too

Answer 25

@DemolisionWolf shouldn't he have gotten

-90x + y= 50

Answer 26

@MathLegend ya... they are the same equation, i'm not to knowledgeable on proper notation tho...

Answer 27

Yeah but @kaileam has it incorrectly

Answer 28

incorrect

Answer 29

Wrong signs