Interactive practice questions
Consider the following phone plans:
GO SMALL plan: This plan has a $\$20$$20 monthly base charge and charges $90$90 cents per minute for all calls.
GO MEDIUM plan: This plan has a $\$26$$26 monthly base charge and then charges $70$70 cents per minute for all calls.
Complete the following table of values for various total monthly call times for the two plans:
| Call time (in minutes) | Total cost for GO SMALL plan | Total cost for GO MEDIUM plan |
|---|---|---|
| $20$20 | $\editable{}$ | $\editable{}$ |
| $30$30 | $\editable{}$ | $\editable{}$ |
| $40$40 | $\editable{}$ | $\editable{}$ |
| $50$50 | $\editable{}$ | $\editable{}$ |
Sketch the graph of the two plans.
Using the graphs, determine how many minutes of calls would need to be made so that the monthly bill costs the same on both plans.
A family owns two businesses that made a combined profit of $\$6$$6 million in the previous financial year, with business B making $2$2 times as much profit as business A.
Let $x$x and $y$y be the profits ( in millions) of business A and business B respectively.
Luke purchases $30$30 L of mixed leaded and unleaded petrol solution for mechanic works, which costs him a total of $\$103.20$$103.20. The price of leaded petrol is $\$3.54$$3.54/L, while the price of unleaded petrol is $\$2.94$$2.94/L.
Let $x$x and $y$y be the number of litres of leaded and unleaded petrol that make up the solution respectively.
Two twin soccer players are having a contest over who will score the most goals in the season. The twins have scored a combined total of $34$34 goals so far over the season and twin A has scored $6$6 more goals than twin B.
Let $x$x and $y$y be the number of goals scored by twin A and twin B respectively.