Unit Test Answers

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?

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The height in feet, h, of a model rocket t seconds after launch is given by the equation . The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?

The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]?

A cashier earns $7 an hour. If x is the number of hours worked, which function represents the cashier’s earnings?

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The weight, w, in tons of a school bus is related linearly to its seating capacity, p. A 60-passenger bus weighs 10 tons, and an 84-passenger school bus weighs 13 tons. Which equation can be used to find the weight of a 50-passenger bus?

A local store’s clearance rack is full of DVDs selling for $8 each and CDs selling for $6 each. Let x represent the number of DVDs, and let y represent the number of CDs. Which inequality can be used to find combinations of DVDs and CDs that can be bought with a $50 gift card?

Which graph represents an inverse variation?

The width of a desk is 25 inches, or 63.5 centimeters. If a measurement in inches varies directly with a measurement in centimeters, what is the length, in centimeters, of a notebook that is 11 inches long? Round your answer to the nearest hundredth, if necessary.

What is the equation of a line with a slope of –2 that passes through the point (6, 8)?

The cost of a taxi ride is a linear function of the distance traveled. If a 5-mile ride costs $12 and a 9-mile ride costs $14, which equation can be used to find the cost, c, for any distance, m, traveled?

What is the equation of the line perpendicular to that passes through the point (12, –6)?

The sum of two numbers is no more than 28. Let x represent the first number, and let y represent the second number. Which inequality represents this situation?

An amusement parks sells adult tickets for $18 each and youth tickets for $12 each. Kalila is using the inequality to find the combinations of tickets she can buy without exceeding her $250 budget. The ordered pair (4, 3) is a solution of the inequality. What does (4, 3) represent?