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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 |
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| 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/$ |
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| 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 |
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| 4 | |
Which of these statements is true? |
| | A) | In the equation y = mx + b, b represents the slope of the line.
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| | 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. |
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| 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. |
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| 6 | |
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Consider the relation shown. The equation for this relation is
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| | A) | y = 2x – 1. |
| | B) | y = 2x + 1. |
| | C) | y = –x – 2. |
| | D) | y = –x + 2. |
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| 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. |
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| 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 |
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| 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. |
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| 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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