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4.05 Intersections of linear graphs

Interactive practice questions

Two siblings leave home at different times. They are travelling to see their favourite sports team compete in the championship. The stadium is $30$30 km away and the match starts at $9$9 pm.

a

Fill in each of the boxes with a whole number to complete the story:

Apollo left home at $\editable{}$ pm, while Artemis left at $\editable{}$ pm.

They were the same distance away from home sometime between $\editable{}$ and $\editable{}$ pm.

b

Did Apollo make it to the stadium on time?

Yes

A

No

B
Easy
1min

Castor and Pollux are working on a bushfire prevention team. Over the course of their $10$10-hour shift they move along a boundary and remove all flammable material they find. The travel graph below shows their distance from the base throughout their shift.

Easy
2min

The graphical solution of a system of two linear equations can be described as:

Easy
< 1min

The following graph displays a system of two equations.

Write down the solution to the system in the form $\left(x,y\right)$(x,y).

Easy
< 1min
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Outcomes

ACMEM126

interpret the point of intersection and other important features of given graphs of two linear functions drawn from practical contexts; for example, the ‘break-even’ point

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