Question

Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.

Write an equation in the standard form to represent the total rent (y) that Sam has to pay for renting the boat for x days. (4 points)

Part B: Write the equation obtained in Part A using function notation.(2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

Answer 1

stressing

Answer 2

any 1

Answer 3

;(

Answer 4

" Sam rented a boat at $225 for 2 days." so what are x and y?

Answer 5

guess at 2 days is the y

Answer 6

and 225 x?

Answer 7

go back to the definition of what x and y are (they set that up)

Answer 8

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

Answer 9

ahh days x

Answer 10

that's why it's handy to say

x = number of days
y = total cost

Answer 11

" Sam rented a boat at $225 for 2 days."

x = ??
y = ??

Answer 12

2x and 225y

Answer 13

2x is not correct

Answer 14

x = 2x makes no sense really

Answer 15

i dont know what your asking?

Answer 16

im soo badd at maths :( sorry

Answer 17

x is simply a number

Answer 18

x is defined to be the number of days

Answer 19

yes

Answer 20

so saying x = 2x makes no sense, but you're close

Answer 21

just 2x?

Answer 22

something like y =2x=225?

Answer 23

no don't worry about the equation right now

Answer 24

we're just setting up the points

Answer 25

x is the number of days

Answer 26

if he rents the boat for 2 days, then x = ?

Answer 27

2

Answer 28

yep x = 2

Answer 29

what is y when x = 2

Answer 30

225

Answer 31

they pair up together to get the ordered pair (x,y) = (2,225)

This is one point

Answer 32

what is the other point?

Answer 33

5,48-

Answer 34

480*

Answer 35

use parenthesis when you are referring to points or ordered pairs

Answer 36

so (5,480)

Answer 37

we have 2 points: (2,225) and (5,480)

Answer 38

find the equation of the line that goes through them

Answer 39

is that y2-y1 / x2 - x1?

Answer 40

that will give you the slope

Answer 41

and you'll use that to find the equation of the line

Answer 42

(2,225) and (5,480)
480-225 = 255 / 3 = 85

Answer 43

so is thay x or y? or neither

Answer 44

that's the slope

Answer 45

m = 85 is the slope

Answer 46

so x

Answer 47

:o

Answer 48

no, x is not the slope

Answer 49

i though x was slope:O

Answer 50

no the slope is change in y over change in x

Answer 51

:O what the next step then?

Answer 52

you have the slope and you have a point on the line

Answer 53

use them to find the y-intercept

Answer 54

ehat is the equation i should be using?

Answer 55

y = mx+b is the general form of a straight line

Answer 56

m is the slope

Answer 57

b is the y-intercept

Answer 58

so we know m only? , sorry im so lost

Answer 59

y = 85x + ?

Answer 60

remember, each point we set up is in the form (x,y)

Answer 61

so pick any point we set up, and plug it in

Answer 62

225=85(2) + ?

Answer 63

replace the question mark with b

Answer 64

so 225 = 85(2) + b

now solve for b

Answer 65

225=85(2) + b
or is it
y = 85(2) + 225

Answer 66

b =55

Answer 67

225=85(2) + b, solve for b

Answer 68

it's not y = 85(2) + 225

Answer 69

yes 55?

Answer 70

b =55?

Answer 71

good, b = 55

Answer 72

so y = mx+b turns into y = 85x + 55

Answer 73

you now have to get that into standard form Ax + By = C to answer part a)

make sure A is positive

Answer 74

now im completely lost

Answer 75

do you see how I'm getting y = 85x + 55

Answer 76

yes

Answer 77

its the next part

Answer 78

so you need to get that equation into the form Ax + By = C

A,B,C are constants

Answer 79

thats the bit confusing me

Answer 80

for example, 9x + 10y = 12 is in the form Ax + By = C where A = 9, B = 10, C = 12

This is not the answer as it's just an example

Answer 81

85x +55y = C

Answer 82

i dunno

Answer 83

start with y = 85x + 55

and move over the x term to the left side

Answer 84

how?

Answer 85

how would you move over the +55? You would do the same for the 85x

Answer 86

subtract?

Answer 87

yep subtract 85x from both sides.

Answer 88

ca u show me how

Answer 89

like i get theory behingg but now how

Answer 90

give it a shot and show me what you get