Answer:
Okay so I’m gonna do a few and list a few examples
In slope intercept form its
y=mx+b
Y= Random Y coordinate (Not that important for now while writing)
m= Slope
X= random x coordinate (not that important for now while writing)
b= Y intercept
SO basically plug it in like that so for the first one
the slope is 1/3 and y-intercept is -1
so
y=1/3x-1
And thats how you do it
leave the y and x
Graphing
So for graphing or fining the equation, first identify the y-intercept
The y-intercept is on the y axis (obviously), and its the number where the line first hits, so for the first one, the y intercept is 3 becuase thats where the first line meets on the Y axis. When identified start doing rise over run, lik just go up and right, if there is no space, dot he opposite, go down and go left or right (depends if the line is rising or falling, you can tell if rising (positive) if the line goes from down to up form left to right , if falling (negative) vice versa, up to down from left to right). And just write the equation after identifying the slope And y-intercept, the x and y don’t matter.
4) y= -1/3x+3 (watch your signs, if falling the slope is automatically negative)
5) y=1/2x+1
6) y=4x-5 (negative y-intercept due to the part where the y meets up with the line, its in the negative side)
(remember to write these equations on the top side of the line
Answer:
x = 63, y = 27
Step-by-step explanation:
x and 117 are adjacent angles and sum to 180°
x + 117 = 180 ( subtract 117 from 180 )
x = 63
x and y sum to 90°
x + y = 90
63 + y = 90 ( subtract 63 from both sides )
y = 27
The first table, representing <em>f</em>(<em>x</em>), is linear. The data have a constant rate of change or slope:
<em />(between the first two points): <em>m</em> = (<em>y</em>₂ - <em /><em>y</em>₁)/(<em>x</em>₂ - <em>x</em>₁) = (22-18)/(-1--2) = 4/(-1+2) = 4/1 = 4. The rate of change between any two points is the same:
(between the last two points):<em> m</em> = (34-30)/(2-1) = 4/1 = 4.
The second table, representing <em>g</em>(<em>x</em>), is exponential. The data points are multiplied by the same constant between successive points. 2*2 = 4; 4*2= 8; 8*2 = 16, etc.
The first example has students building upon the previous lesson by applying the scale factor to find missing dimensions. This leads into a discussion of whether this method is the most efficient and whether they could find another approach that would be simpler, as demonstrated in Example 2. Guide students to record responses and additional work in their student materials.
§ How can we use the scale factor to write an equation relating the scale drawing lengths to the actual lengths?
!
ú Thescalefactoristheconstantofproportionality,ortheintheequation=or=!oreven=
MP.2 ! whereistheactuallength,isthescaledrawinglength,andisthevalueoftheratioofthe drawing length to the corresponding actual length.
§ How can we use the scale factor to determine the actual measurements?
ú Divideeachdrawinglength,,bythescalefactor,,tofindtheactualmeasurement,x.Thisis
! illustrated by the equation = !.
§ How can we reconsider finding an actual length without dividing?
ú We can let the scale drawing be the first image and the actual picture be the second image. We can calculate the scale factor that relates the given scale drawing length, , to the actual length,. If the actual picture is an enlargement from the scale drawing, then the scale factor is greater than one or
> 1. If the actual picture is a reduction from the scale drawing, then the scale factor is less than one or < 1.
Scaffolding:
A reduction has a scale factor less than 1, and an enlargement has a scale factor greater than 1.
Lesson 18: Computing Actual Lengths from a Scale Drawing.
1995. 164 million
2001. 169 million
t = 2001 - 1995 = 6
169 =
![p^{6} = \frac{169}{164}= 1.0304878 \\ p = \sqrt[6]{1.0304878}](https://tex.z-dn.net/?f=%20p%5E%7B6%7D%20%3D%20%5Cfrac%7B169%7D%7B164%7D%3D%201.0304878%20%5C%5C%20%20p%20%3D%20%20%5Csqrt%5B6%5D%7B1.0304878%7D%20%20)
p = 1.00502
t 1 = 2015 - 2001 = 14
f ( t1 ) =
f (t1) = 169 * 1.0762 = 181.27
Answer: a country´s population in 2015 will be
181 million.
