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1.04 Problem solving with graphing techniques

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

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

Easy
3min

Kerry currently pays $\$50$$50 a month for her internet service. She is planning to switch to a fibre optic cable service.

Easy
6min

The signal ratio $D$D measured in decibels of an electronic system is given by the formula $D=10\log\left(\frac{F}{I}\right)$D=10log(FI) where $F$F and $I$I are the output and input powers, measured in megawatts, MW, of the system respectively.

Easy
5min
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Outcomes

MA12-1

uses detailed algebraic and graphical techniques to critically construct, model and evaluate arguments in a range of familiar and unfamiliar contexts

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