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7.02 Linear functions in context

Interactive practice questions

Beth’s income is based solely on the number of hours she works, and she is paid a fixed hourly wage. She earns $\$750$$750 for working $30$30 hours.

a

Which of the following graphs correctly plots her income against her hours worked?

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A

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B

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C

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D
b

How much does Beth earn each hour?

c

Let $y$y represent Beth’s income after working $x$x hours. Form an equation relating $x$x and $y$y.

d

Determine Beth's income when she works $25$25 hours.

e

How many hours must Beth work if she wants to earn $\$125$$125?

Easy
2min

The cost of running a particular business is $\$120$$120 an hour.

Easy
4min

Valentina left for a road trip at midday. The following graph shows the total distance travelled (in kilometres) $t$t hours after midday.

Easy
1min

The table shows the linear relationship between the number of plastic chairs manufactured and the total manufacturing cost.

Easy
7min
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Outcomes

1.3.3.1

use graphs in practical situations

1.3.3.2

interpret graphs in practical situations [complex]

1.3.3.3

draw graphs from given data to represent practical situations [complex]

1.3.3.4

interpret the point of intersection and other important features (𝑥 and 𝑦 intercepts) of given graphs of two linear functions drawn from practical contexts [complex]

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