Question

help

Answer 1

@jim_thompson5910

Answer 2

first you'll need an equation for machine C

Answer 3

what two points are in the table?

Answer 4

2,150
4,300

Answer 5

don't forget parenthesis

Answer 6

ok

Answer 7

(2,150)
(4,300)

Answer 8

what is the slope of the line through those points?

Answer 9

y:
150 and 300
x:
2 and 4

-150 and -2
75

Answer 10

good, the slope is 75

Answer 11

m = 75 will be plugged into y = mx+b to get y = 75*x + b

Answer 12

let's pick one of the ordered pairs, say (2,150)

plug in x = 2 and y = 150

to go from this
y = 75*x + b
to this
150 = 75*2 + b
now solve for b

Answer 13

ok.. i got

x= -b/75 +2

Answer 14

150 = 75*2 + b
150 = 150 + b
b = ???

Answer 15

b=0! @jim_thompson5910

Answer 16

yep b = 0

Answer 17

y = 75*x + b
will turn into
y = 75*x + 0
which simplifies to
y = 75x

Answer 18

So the equation for machine C is y = 75x

Answer 19

ok so the answer is 75?

Answer 20

no

Answer 21

equation for machine C is y = 75x

plug in x = 11 to get y = ???

Answer 22

ok

Answer 23

y = 75*x
y = 75*11
y = ???

Answer 24

825

Answer 25

yes, now plug x = 11 into y = 130x to get y = ???

Answer 26

wait what is it?

Answer 27

whats the equation

Answer 28

what do you mean "plug x = 11 into y = 130x "?

Answer 29

replace x with 11

y = 130*x
y = 130*11
y = ???

Answer 30

1430

Answer 31

now subtract

1430 - 825 = 605

Answer 32

605 is the answer

Answer 33

ok awesome! next :)

Answer 34

I want to see if you can try this one on your own

Answer 35

Don't just give out the answer. Show me your steps (specifically the slope and y intercept)

Answer 36

ok is it the same steps as the last one

Answer 37

yes the goal is to find the equation in the form y = mx+b

Answer 38

ok

Answer 39

so the first thing is to find the pairs..

(1,78)
(2,86)

Answer 40

so far, so good

Answer 41

ok
y:
78 and 86
x:
1 and 2

Answer 42

then what?

Answer 43

then :
-8
-1

Answer 44

good, then what comes next?

Answer 45

then divide and you get 8

Answer 46

yes, so that is the slope

Answer 47

what comes next?

Answer 48

78=8*1+b
b=70

Answer 49

very nice

Answer 50

m = 8 and b = 70 so the equation y = mx+b turns into y = 8x+70

Answer 51

ok so thats the answer?

Answer 52

yes

Answer 53

ok next!

Answer 54

it's asking for the slope

Answer 55

ok so whats the first step?

Answer 56

what two points do you see?

Answer 57

look at the graph

Answer 58

(1,35)
(2,70)

Answer 59

good, find the slope of the line through those two points

Answer 60

y:
35 and 70
x:
1 and 2

-35 and -1
35

Answer 61

Yes the slope is 35. So that wraps up the problem.

Answer 62

Be sure to show how you're dividing and subtracting

Answer 63

awesome! next

The equation shows the relationship between x and y:

y = −2x + 11

What is the slope of the equation?

−11
−2
9
11

Answer 64

you tell me

Answer 65

well how do we figure it out?

Answer 66

y = mx+b

the m in front of the x is the slope

Answer 67

example: y = 7x-10 has a slope of 7 because the 7 is in front of the x

Answer 68

oh so the slope is -2?

Answer 69

yes

Answer 70

ok next!

One triangle on a graph has a vertical side of 7 and a horizontal side of 12. Another triangle on a graph has a vertical side of 28 and a horizontal side of 48.

Could the hypotenuses of these two triangles lie along the same line?

Yes, because they are similar triangles
Yes, because all triangles can fit along this line
No, because they need to be the same size
No, because they are not similar triangles

Answer 71

another one to practice with: what is the slope of y = 5x+23 ?

Answer 72

5

Answer 73

good

Answer 74

so can we move onto the next question please..
One triangle on a graph has a vertical side of 7 and a horizontal side of 12. Another triangle on a graph has a vertical side of 28 and a horizontal side of 48.

Could the hypotenuses of these two triangles lie along the same line?

Yes, because they are similar triangles
Yes, because all triangles can fit along this line
No, because they need to be the same size
No, because they are not similar triangles

Answer 75

`One triangle on a graph has a vertical side of 7 and a horizontal side of 12. `
rise =7
run = 12
slope = rise/run = 7/12

what is the other slope (of the other triangle hypotenuse)?

Answer 76

28/48?

Answer 77

reduce 28/48 to get what?

Answer 78

7/12

Answer 79

yes, the slopes are the same, so it is possible to line up the two hypotenuses

Answer 80

yes

Answer 81

put another way, ` Yes, because they are similar triangles` which is the answer

Answer 82

ok next!

Answer 83

they want you to find the slope for part A
they also want the initial value for part A

Answer 84

ok..

Answer 85

what two points are in the table?

Answer 86

(2005,1200)
(2008,1350)

Answer 87

let's make x = number of years since 2005

so x = 0 would represent the year 2005
x = 3 would represent the year 2008 since it's 3 years later

Answer 88

so we'd have these two points (0,1200) and (3,1350)

Answer 89

OK...

Answer 90

what is the slope of the line through (0,1200) and (3,1350)

Answer 91

y:
1200, 1350
x:
0,3

Answer 92

keep going

Answer 93

-150 and -1

Answer 94

im sorry i meant -3