Prelim Standard 2 Linear Relationships

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The cost of hiring a venue involves a fixed cost of $300 then varies directly with the number of people in attendance. If it costs $450 for 30 people, how much would it cost to hire the venue for 40 people?

1 point

$480

$490

$500

$550

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What is the gradient of line l?

1 point

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What is the equation of the line drawn on the number plane?

1 point

C = 20n + 200

C = 25n + 200

C = 40n + 200

C = 200n + 40

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The diagram shows the graph of a line. What is the equation of this line?

1 point

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Water was poured into a container at a constant rate. The graph shows the depth of water in the container as it was being filled. Which of the following containers could have been used to produce this result?

1 point

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Suppose y = –1 – 2x. When the value of x increases by 5, the value of y decreases by

1 point

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A plumber charges a call-out fee of $90 as well as $2 per minute while working.Suppose the plumber works for t hours.Which equation expresses the amount the plumber charges ( $C ) as a function of time (t hours)?

1 point

C = 2 + 90t

C = 90 + 2t

C = 120 + 90t

C = 90 + 120t

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Two lines, labelled k and l are shown. Which equations would describe the lines k and l?

1 point