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?
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?
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.
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?
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?
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?
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?
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?
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?
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?
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?
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.
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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