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9.03 Line graphs in context

Interactive practice questions

A racing car starts the race with $140$140 litres of fuel. From there, it uses fuel at a rate of $2$2 litres per minute.

Complete the table of values:

Number of minutes passed ($x$x) $0$0 $5$5 $10$10 $15$15 $20$20 $70$70
Amount of fuel left ($y$y) $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
Easy
2min

There are $20$20 litres of water in a rainwater tank. It rains for a period of $24$24 hours and during this time the tank fills up at a rate of $8$8 litres per hour.

Easy
2min

The cost of a taxi ride $C$C is given by $C=2.50t+3$C=2.50t+3 where $t$t is the duration of the trip in minutes.

Easy
3min

Let the height of a candle be $y$y cm. If the candle is lit, the height decreases according to the equation $y=-2t+9$y=2t+9, where $t$t is the elapsed time in minutes. A table of values is provided below.

Plot the points in the table of values.

Easy
< 1min
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Outcomes

ACMGM042

interpret, in context, the slope and intercept of a straight-line graph used to model and analyse a practical situation

ACMGM043

construct and analyse a straight-line graph to model a given linear relationship; for example, modelling the cost of filling a fuel tank of a car against the number of litres of petrol required

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