Damo hires paddle boats in summertime as part of his water sports business. To calculate the cost,  , in dollars, of hiring  paddle boats, he uses the equation  .

He hires the paddle boats for $35 per hour and determines his income,  , in dollars, using the equation  .
 

Use the graph to solve the two equations simultaneously for and explain the significance of this solution for Damo's business.   (2 marks)

Bec is a baker and makes cookies to sell every week.

The cost of making cookies, $,  can be calculated using the equation

Bec sells the cookies for $4.50 each, and her income is calculated using the equation

1. On the grid above, draw the graphs of   and .  (2 marks)
   

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2. On the graph, label the breakeven point and the loss zone.  (2 marks)
   

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Jake and Preston are planning a fund-raising event at the local swim centre. They can have access to the giant pool float for $550 and the party room hire for $250. A sausage sizzle and drinks will cost them $9 per person.

1. Write a formula for the cost ($C) of running the event for people. (1 mark)
   

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The graph shows planned income and costs when the ticket price is $15. 
  

2. Estimate the minimum number of people needed at the fund raising event to cover the costs.  (1 mark)
   

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3. How much profit will be made if 200 people attend the fund raiser? (1 mark)
   

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Jake and Preston have 300 tickets to sell. They want to make a profit of $1510.

4. What should be the price of a ticket, assuming all 300 tickets will be sold?  (3 marks)
   

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A small business makes and dog kennels.

Technology was used to draw straight-line graphs to represent the cost of making the dog kennels and the revenue from selling dog kennels . The -axis displays the number of dog kennels and the -axis displays the cost/revenue in dollars.
 

1. How many dog kennels need to sold to break even?  (1 mark)
   

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2. By first forming equations for cost and revenue , determine how many dog kennels need to be sold to earn a profit of $2500.  (3 marks)
   

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Morgan and Beau are to host a 21st birthday party for their friend's Zac and Peattie. They can hire a function room for $900 and a DJ for $450. Drinks will cost them $33 per person.

1. Write a formula for the cost () of holding the birthday party for    people.   (1 mark)
   

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2. The graph below shows the planned income and costs if they charge $60 per person. Estimate the number of friends they need to invite to break even.   (1 mark)
      
    

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3. How much money will Morgan and Beau have to purchase a travel voucher as a group gift if 90 people attend the party?   (1 mark)
   

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The graph displays the cost () charged by two companies for the hire of a jetski for hours.
 

Both companies charge $450 for the hire of a jetski for 5 hours.

1. What is the hourly rate charged by Company A?  (1 mark)
   

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2. Company B charges an initial booking fee of $80.
   

    

   Write a formula, in the of  , for the cost of hiring a jetski from Company B for hours.  (2 marks)
   

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3. A jetski is hired for 7 hours from Company B.

    

   Calculate how much cheaper this is than hiring from Company A.  (2 marks)
   

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A function centre hosts events for up to 500 people. The cost , in dollars, for the centre
to host an event, where people attend, is given by:

The centre charges $120 per person. Its income , in dollars, is given by:

How much greater is the income of the function centre when 500 people attend an event, than its income at the breakeven point?