# Linear Relations: Question Preview (ID: 18262)

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The total cost of swimming at a community swimming pool is made up of a membership fee and a cost per swim. At this community centre, Jake pays a total of $100 and swims 40 times. Paula pays a total of $70 and swims 25 times. Which of these is true? |
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a) The membership fee is $20. | b) The membership fee is $30. | c) The membership fee is $2.50. | d) The membership fee is $2.80. | |

Alex's Rose Shop makes up bouquets and charges for the vase, plus a cost per rose. The shop charges $32.85 for a bouquet of 12 roses, and charges $50.85 for a bouquet of 20 roses. What does Alex's Rose Shop charge for a vase? |
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a) $18.00 | b) $8.00 | c) $5.85 | d) $2.74 | |

The total cost of hiring Beth's Plumbing Services is represented by the equation C = 50t + 70, where C is the total cost in dollars and t is the time in hours. Next month, the rate will change to $60 per hours, but the initial charge stays the same. |
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a) The new graph of the relation will change - the steepness of the line will increase | b) The new graph of the relation will change - the steepness of the line will decrease | c) The new graph of the relation will change - the vertical intercept will increase by 10 units | d) The new graph of the relation will change - the vertical intercept will decrease by 10 units | |

Nadia lives 11.4km from school and walks every day. The equation d = 11.4 - 0.6t represents the relationship between d, her distance from school in km, and t, her time travelling in minutes. If she leaves home at 8:05AM, when will she get to school? |
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a) 8:11 AM | b) 8:16 AM | c) 8:17 AM | d) 8:24 AM | |

The cost, C, in dollars to print n leaflets is given by the formula C = 0.35 + 0.03n. What is the cost of printing 900 leaflets? |
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a) $27.00 | b) $35.00 | c) $37.70 | d) $62.00 | |

Liam sells sandwiches at an arena. He earns $10.50 per hour plus $0.40 for each sandwich he sells. How many sandwiches does he need to sell during a 6-hour shift to earn $125? |
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a) 158 | b) 155 | c) 62 | d) 12 | |

A sports company uses the equation C = 8t + 5 to represent the relationship between the total amount charged to rent a canoe, C, in dollars and the rental time, t, in hours. What is the initial charge to rent a canoe? |
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a) $0 | b) $5 | c) $8 | d) $13 | |

Karina has a job and gets paid each week with an hourly rate plus $14 for transportation. One week she works 20 hours and is paid $215. Which equation represents the relationship between her total pay, P, and the number of hours she works, n? |
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a) P = 10.75n + 14 | b) P = 14n + 10.75 | c) P = 10.05n + 14 | d) P = 14n + 10.05 | |

Charges on a monthly water bill are $0.86 per meter cubed of water used plus a service charge of $4.49. Let C = total charge, in dollars, and w = total amount of water used, in meters cubed. Which equation represents the relationship between C and w? |
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a) C = 4.49 X 0.86w | b) C = 4.49w + 0.86 | c) C = 4.49 + 0.86w | d) C = (4.49 + 0.86)w | |

Student council sells lollipops for $0.10 each. They pay $0.04 for each lollipop and spend $10 to advertise. P represents the student council's profit, in dollars, and n represents the number of lollipops sold. Which equation represents the profit? |
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a) P = 0.06n - 10 | b) P = 0.06n + 10 | c) P = 10n + 0.06 | d) P = 10 + 0.04n | |

Alex has $150. She spends the same amount each week. After 6 weeks, she has $30 remaining. The relationship between the amount of money Alex has and the number of weeks is represented by a line. What is the slope of this line? |
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a) -25 | b) -20 | c) 20 | d) 25 | |

Identical bottles are packed in a box. The box will hold a maximum of 38 bottles. The relationship between M, the total mass of the box and contents, and n, the number of botles in the box, is represented by the equation M = 500n + 800. |
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a) Possible values of n are: n is greater than 37 | b) Possible values of n are: n is greater than or equal to 0 | c) Possible values of n are: n is greater than 0 but less than 39 | d) Possible values of n are: n is greater than or equal to 0 but less than 39 | |

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