Question

Max rented a motorbike at $465 for 5 days. If he rents the same motorbike for a week, he has to pay a total rent of $625.

Write an equation in the standard form to represent the total rent (y) that Max has to pay for renting the motorbike for x days.

Answer 1

I was just tagging you! Haha

Answer 2

haha

Answer 3

Okay... let me think

Answer 4

Ah, think I got it

Answer 5

Okay. Explain how you got it? :)

Answer 6

Oh, wait, misread the question

Answer 7

Do you know what standard form is?

Answer 8

f(x) = ... right?

Answer 9

It's like, a + b + c + d = 0, everything on one side and then set it to 0

Answer 10

Ah. Okay.

Answer 11

So f(5) = 465 is like
f(5) = 93(5)
which is like
f(x) = 93x

Answer 12

I think. o.o

Answer 13

Lets solve for x.

f(5) = 465
f(7) = 625

Answer 14

We have to reverse this, I think. something like that. I'm confuzzled

Answer 15

Ditto broski. xD

Answer 16

I think that this problem has two solutions.

Answer 17

Is this problem from flvs?

Answer 18

Maybe. 0_0

Answer 19

No it's fine, this is tutoring, I need to know what lesson. Algebra II?

Answer 20

.....algebra1...

Answer 21

Oh yeah, functions are in algebra I... hmmz

Answer 22

okay, I made a chart on paper, when x = 5, y = 465
when x = 7, y = 625

Answer 23

lets find the slope so I can graph it out

Answer 24

Okay. \[\frac{ 5 - 7 }{ 465 - 625 }?\]

Answer 25

465 - 625 over 5 - 7
-160 over -2
80

Answer 26

it's y2 - y1 over x2 - x1

Answer 27

Now I can fill in my other points and graph it, gimme a sec

Answer 28

Ohh. Okay

Answer 29

standard form for a linear equation is Ax + By = C

Answer 30

Uhm. okay. 0_0

Answer 31

>.< so hard this one is

Answer 32

Right. xD

Answer 33

I can come back to this one later. Haha. Wanna move on?

Answer 34

Ax + By = C converts to: y = -A/B x + C/B

Answer 35

no we can do this

Answer 36

I feel like the answer is staring at me.

Answer 37

65 = y intercept...

Answer 38

since you know the slope, and a given point: use the point slope form:

y-y1 = m(x-x1)

convert it to slope intercepts as

y = mx +(-mx1) + y1

C/B = -A/B x1 + y1, solving for C we get

C = -Ax1 + By1 which is practically the end results, but they dont like a -A

Answer 39

y = mx + b
y = (80)x + 65
y = 80x + 65
standard form is...
-80x + y = 65

Answer 40

but we don't want a -a

Answer 41

almost ... but needs a slight modification

Answer 42

Uhhhh?

Answer 43

so we multiply everything by -1.

Answer 44

good job :)

Answer 45

80x - y = -65! :D

Answer 46

wow I feel good. tyvm amistre64

Answer 47

I'm kinda lost.

Answer 48

Okay let me type up an explanation

Answer 49

The slope-intercept form of a line is: y = mx + b
m = slope and b = y intercept
y = 80x + 65

Standard form is Ax + By = C

A must be positive, A and B cannot both be 0, and A, B, And C must be integers.

y = 80x + 65
-80x + y = 65

Now we have to multiply it all by -1 to make a positive
-1(-80x + y = 65)
80x - y = -65

Answer 50

Do you get it now?

Answer 51

@RockerSk8er

Answer 52

I'm here? Yes I get it! thank you so much! :D

Answer 53

No problem buddy. :) Got any more?

Answer 54

Yeah, lemme put the answer in first. :) These are essay questions so. Ugh.

Answer 55

Mk

Answer 56

What equation would be my final answer?

Answer 57

80x - y = -65

Answer 58

x is the number of days, so if he rented it for two days, it would be
160 - y = -65
-y = 95
y = -95 dollars

Answer 59

wait
lol oops

Answer 60

it would be y = -225

Answer 61

gotta subtract it, not add it. but yeah, final equation is 80x - y = -65

Answer 62

grr, y = 225

I stupid.

Answer 63

I was looking at it, and didn't get why it equals -65?

Answer 64

lerl I messed up, it's
160 - y = -65
160 + (-160) - y = -65 + (-65)
-y = -225
y = 225

Answer 65

Okay, I see now.

Answer 66

but 80x - y = -65 is in standard form, which you want
post more questions if you want more halp. :D

Answer 67

"Write the equation obtained in Part A using function notation."

Answer 68

post as a new question so we stop spamming amis

Answer 69

Ah, okay.