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Wiskunde

Graad 9

Getalpatrone

Grafiese voorstellings

Vergelykings

Statistiek

Waarskynlikheidsleer

Module 13

‘n studie van grafieke

Wat is grafieke nou eintlik?

Aktiwiteit 1

Om sekere grafieke te bestudeer om hulle te kan verstaan

[lu 1.3, 5.5]

Grafiek A wys hoe die getal TV-stelle per 1 000 mense verander het tussen 1985 en 1995 in ses verskillende streke van die wêreld. Byvoorbeeld, in 1985 het Suid-Asië 20 TV-stelle per 1 000 mense gehad; in 1995 was daar 55 TV-stelle per 1 000 mense.

Grafiek B wys, op die vertikale as, die getal persone in die tronk in die Ver­enigde State van Amerika gedurende die jare aangetoon op die horisontale as. Byvoorbeeld, daar was 135 000 mense in die tronk in 1940.

  • Werk saam in pare; een werk met grafiek A om vraag 1 te beantwoord, en die ander een met grafiek B en vraag 2. Gee redes of verduidelikings vir alle bewerings.

1 Bestudeer grafiek A , en skryf dan antwoorde en verduidelikings neer vir hierdie vrae:

1.1 Watter streek het die laagste getal TV-stelle per 1 000 in 1985 gehad?

1.2 Watter streek het die hoogste getal TV-stelle per 1 000 in 1995 gehad?

1.3 In watter streek het die getal TV-stelle per 1 000 die meeste gestyg?

1.4 Is daar ’n streek waar die getal TV-stelle per 1 000 minder geword het?

1.5 Vergelyk Afrika Suid van die Sahara met die Arabiese State en lewer kommentaar op die verandering in TV-stel-getalle.

1.6 Gebruik nou jou verbeelding – hoe sou die situasie wees? – en trek ’n soortgely­ke grafiek wat twee ander streke wys: Suid-Afrika en die Verenigde State van Amerika.

2 Bestudeer grafiek B en beantwoord hierdie vrae:

2.1 Vanuit die grafiek, probeer skat hoeveel mense in die tronk was in:

a) 1930 b) 1950 c) 1995

2.2 Was daar in 1980 meer of minder as 200 000 mense in die tronk?

2.3 Die grafiek gaan afwaarts net ná 1940. Wat kan jy daaruit aflei?

2.4 Skryf neer rofweg hoeveel jaar dit geneem het vir die tronkbevolking om te verdubbel van wat dit in 1950 was.

2.5 Hoe lank het die tronkbevolking geneem om te verdubbel van wat dit in 1985 was?

2.6 Sou jy sê dat die getal mense in die tronk in die VSA pal styg? Gee redes.

2.7 As ’n mens die grafiek se boodskap lees, hoe meen jy sal die tronkbevolking van die VSA in die toekoms daar uitsien?

3 In Aardrykskunde tref ’n mens ’n interessante soort grafiek aan – ’n deursnee-tekening. Hier sien ’n mens hoe die hoogte bo seespieël varieer tussen twee plekke. Die een hieronder is vir die reguit lyn tussen Bottelaryberg en Papegaaiberg, twee heuwels naby Stellenbosch. Al die mates is in meter. Hieruit kan ons sien dat Bottelaryberg (links) ongeveer 470 m bo seespieël is, en Papegaaiberg ongeveer 255 m. As jy vanaf Bottelaryberg in ’n reguit lyn loop, kry jy ná ongeveer 2,5 km ’n holtetjie, en dan, oor nog ’n halwe kilometer, loop jy oor ’n klein heuweltjie.

  • So ’n grafiek is van besondere waarde vir padmakers aangesien dit die skuinsste van die terrein aantoon.
  • Dit is baie duidelik dat vanaf Bottelaryberg die hoogte sterk val oor ongeveer 750 m. Maar as jy van die kruin van Papegaaiberg af in die rigting van Bottelaryberg stap, neem dit die hoogte omtrent 1,5 km om net so ver te val, wat die roete heelwat minder steil maak.

Questions & Answers

show that the set of all natural number form semi group under the composition of addition
Nikhil Reply
what is the meaning
Dominic
explain and give four Example hyperbolic function
Lukman Reply
_3_2_1
felecia
⅗ ⅔½
felecia
_½+⅔-¾
felecia
The denominator of a certain fraction is 9 more than the numerator. If 6 is added to both terms of the fraction, the value of the fraction becomes 2/3. Find the original fraction. 2. The sum of the least and greatest of 3 consecutive integers is 60. What are the valu
SABAL Reply
1. x + 6 2 -------------- = _ x + 9 + 6 3 x + 6 3 ----------- x -- (cross multiply) x + 15 2 3(x + 6) = 2(x + 15) 3x + 18 = 2x + 30 (-2x from both) x + 18 = 30 (-18 from both) x = 12 Test: 12 + 6 18 2 -------------- = --- = --- 12 + 9 + 6 27 3
Pawel
2. (x) + (x + 2) = 60 2x + 2 = 60 2x = 58 x = 29 29, 30, & 31
Pawel
ok
Ifeanyi
on number 2 question How did you got 2x +2
Ifeanyi
combine like terms. x + x + 2 is same as 2x + 2
Pawel
x*x=2
felecia
2+2x=
felecia
×/×+9+6/1
Debbie
Q2 x+(x+2)+(x+4)=60 3x+6=60 3x+6-6=60-6 3x=54 3x/3=54/3 x=18 :. The numbers are 18,20 and 22
Naagmenkoma
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 1 more than 3 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 113?
mariel Reply
Mark = x,. Don = 3x + 1 x + 3x + 1 = 113 4x = 112, x = 28 Mark = 28, Don = 85, 28 + 85 = 113
Pawel
how do I set up the problem?
Harshika Reply
what is a solution set?
Harshika
find the subring of gaussian integers?
Rofiqul
hello, I am happy to help!
Shirley Reply
please can go further on polynomials quadratic
Abdullahi
hi mam
Mark
I need quadratic equation link to Alpa Beta
Abdullahi Reply
find the value of 2x=32
Felix Reply
divide by 2 on each side of the equal sign to solve for x
corri
X=16
Michael
Want to review on complex number 1.What are complex number 2.How to solve complex number problems.
Beyan
yes i wantt to review
Mark
16
Makan
x=16
Makan
use the y -intercept and slope to sketch the graph of the equation y=6x
Only Reply
how do we prove the quadratic formular
Seidu Reply
please help me prove quadratic formula
Darius
hello, if you have a question about Algebra 2. I may be able to help. I am an Algebra 2 Teacher
Shirley Reply
thank you help me with how to prove the quadratic equation
Seidu
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Opoku
what is math number
Tric Reply
4
Trista
x-2y+3z=-3 2x-y+z=7 -x+3y-z=6
Sidiki Reply
can you teacch how to solve that🙏
Mark
Solve for the first variable in one of the equations, then substitute the result into the other equation. Point For: (6111,4111,−411)(6111,4111,-411) Equation Form: x=6111,y=4111,z=−411x=6111,y=4111,z=-411
Brenna
(61/11,41/11,−4/11)
Brenna
x=61/11 y=41/11 z=−4/11 x=61/11 y=41/11 z=-4/11
Brenna
Need help solving this problem (2/7)^-2
Simone Reply
x+2y-z=7
Sidiki
what is the coefficient of -4×
Mehri Reply
-1
Shedrak
A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
Kimberly Reply
Jeannette has $5 and $10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
August Reply
What is the expressiin for seven less than four times the number of nickels
Leonardo Reply
How do i figure this problem out.
how do you translate this in Algebraic Expressions
linda Reply
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Wiskunde graad 9. OpenStax CNX. Sep 14, 2009 Download for free at http://cnx.org/content/col11055/1.1
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