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9.03 Line graphs in context

Interactive practice questions

Justin is looking into the details of his mobile phone plan. He knows the costs for several call lengths.

Length of call ($t$t minutes) $2$2 $6$6 $10$10 $14$14
Cost ($C$C) $\$1.00$$1.00 $\$2.20$$2.20 $\$3.40$$3.40 $\$4.60$$4.60
a

Plot the given data in the table on the number plane.

Loading Graph...
b

Is this relationship linear?

Yes

A

No

B
c

Draw the line that connects the points.

Loading Graph...
d

According to the graph, how much will it cost to make a $8$8-minute call?

e

According to the graph, what is the length of a call that costs $\$1.60$$1.60?

f

What is the rule that connects the cost of a call, $C$C, to the length of the call, $t$t?

Easy
8min

A racing car starts the race with $250$250 litres of fuel. From there, it uses fuel at a rate of $5$5 litres per minute.

Easy
3min
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Outcomes

2.3.5

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.

2.3.6

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

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