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1
Which of these is a direct variation?
A)F = 15t + 8
B)I = 1.05t – 25
C)C = 30n
D)y = 3x + 2
2
The labour cost of car repair is a direct variation in relation to time. Josef paid $250 in labour charges for a repair that took 5 h. Find the constant of variation.
A)$250/h
B)$50/h
C)0.02 h/$
D)0.004 h/$
3
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Lindsay built a ramp up to the front of her house, as shown. Find the slope of the ramp.
A)0.25
B)1.5
C)4
D)6
4
Which of these statements is true?
A)In the equation y = mx + b, b represents the slope of the line.
B)The slope of a line can be calculated from the relation:
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C)The slope of a linear relation is constant.
D)All of these are true.
5
Jacques rented a canoe for a booking fee of $10 plus $5 per hour. The relation between the rental cost C and the time in hours h is
A)C = 5h + 2.
B)C = 2h + 10.
C)C = 10h + 5.
D)C = 5h + 10.
6
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Consider the relation shown. The equation for this relation is
A)y = 2x – 1.
B)y = 2x + 1.
C)y = –x – 2.
D)y = –x + 2.
7
A cargo ship traversed Lake Ontario from Hamilton to Kingston, a distance of 300 km, in 10 h. The equation that relates distance d to time t is
A)d = 10t.
B)d = 30t.
C)d = 300t.
D)d = 310t.
8
Use your equation from question#7 to determine how long it would take the ship to travel 450 km.
A)15 h
B)20 h
C)22.5 h
D)25 h
9
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The fuel gauge on Indira's boat has stopped working. She decided to measure the depth of fuel remaining in the tank every hour using a dipstick. The depth of fuel in relation to time is shown.
A)The relation is linear, since the numbers are decreasing.
B)The relation is linear, since the first differences are constant.
C)The relation is non-linear, since the numbers are decreasing.
D)The relation is non-linear, since the first differences are not constant.
10
Famoso left base camp at an altitude of 1827 m and climbed up Mt. Kilimanjaro in Tanzania to the Mandara Hut at 2727 m, in 5 h. Find the rate of change of altitude.
A)900 m/h
B)545.4 m/h
C)365.4 m/h
D)180 m/h







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