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Straight line graphs
Mahobe
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Draw the graphs of the lines
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• Starts at -3 and slopes 1 in y to 2 in x
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Draw the graph of the line
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• Starts at ½• Slope: 3 in ‘y’ to 2 in ‘x’
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Draw the graph of the line
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Find the points where x = 0 and where y = 0
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Parts of the Red Devils and Easy Riders cycle ramps can be viewed from the end of a spectator stand at a dirt cycle track. The graph below shows the height above ground
level of the two ramps.
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What is the height of the Easy Riders ramp at the end of the spectator stand?
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1.5 metres
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What is the increase in height of the Red Devils ramp over the 10 metres from the end of the spectator stand?
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2.5 metres
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Draw the graph and give the equation of the following:
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Starts at -5 and increases by ‘3’
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Starts at -5 and increases by ‘3’
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Starts at 1 and slope is -4
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Write down the coordinates of A and B
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coordinates of A(-1, 1) and B(3,3)
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Write down the x and y intercepts.
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x intercepts is(-3,0) and y intercepts is(0, 1.5).
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Write the equation of the line
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The equation of the line is
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Which two lines are parallel?
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A and C because they have the same gradient.
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A and C because they have the same gradient.
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Which two lines have negative gradients?
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B and D
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Which two lines go through the point (5, 13)?
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A and D
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Draw the following lines.
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Draw the graphs of the following equations.
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The graph shows the net worth of 3 famous siblings who are all famous singers.
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Who initially had the most successful career?
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Michael
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At what annual rate is Britney’s and Paris’ net worth changing?
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Britney’s $15,625,000 and Paris’ $9,375,000
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Michael seems to be losing his net worth. When do you estimate that he will be worth less than a $1million?
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Michael
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Britney runs from her house to the shopping mall. Paris walks from her house to the shopping mall. The distances and times are
shown on the graph below
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Which line represents Britney? Explain your answer.
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The steeper line because we presume she runs faster than Paris can walk.
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Both Britney and Paris left their homes at 1:30pm to go to the mall. At what time would they be at the same distance from the
mall?
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4 minutes later at 1:34pm
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Formula:
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Formula:
0.5 1 2 3 4 555 80 130 180 230 280
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Draw both graphs.
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Compare the two lines and comment.
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Both recipes give the same cooking time for a roast that is 3 kg.
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The recipe book recommends longer times for roasts under 3 kg.
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The mother’s recipe is likely to undercook a roast if it has a low weight. .
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Brad and Angie are travelling overseas. There are three international phone card they can buy.
• 1 More Talk• 2 Talk on• 3 Stay in touch
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The graph below shows the call costs for More Talk and Talk On cards
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The Stay in Touch card costs 4 cents per minute plus a $1 call connection fee. The cost per call using the Stay in Touch card can
be described by the equation
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Draw the graph for the Stay in Touch card from 0 to 30 minutes.
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Draw the graph for the Stay in Touch card from 0 to 30 minutes.
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Which one of these three cards has the highest connection fee per call?
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Stay in Touch
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How is this shown by the graphs?
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The highest intersection point on the cost axis.
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How long is a call that costs the same using the More Talk card and the Talk On card?. How is this shown by the graphs?
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20 minutes. The intersection point of the two lines.
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Use the graph to write the equation of the More Talk card.
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Use the graph to write the equation of the Talk On card.
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Terrance investigates the cost of hiring exercise equipment for his home. He phones 2 companies – ‘Work It Out’ and ‘Fitness Concepts’. The graph
shows the cost of hiring the same equipment for up to 50 days.
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What are the main features of each company’s charges?
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Fitness Concepts has a fixed charge of $100 and a rate of 40 cents a day.
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Work it Out has no fixed charge but charges at a rate of $3 a day.
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Up to 38 days, it is cheaper to hire from Work it Out. From 39 days, it is cheaper to hire from Fitness Concepts.