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grade8_graphs_quiz3 draws its questions at random from a bank of 10 questions, with full worked solutions for every one.
A few of the question types, with full solutions, so you know what to expect.
A cyclist's distance from the start (km) is recorded hourly: 0h=0, 1h=12, 2h=24, 3h=24, 4h=36, 5h=48. During which interval was the distance constant?
Answer: 2 to 3 hours
\(\text{Look for two consecutive readings with the same distance.}\)
\(\text{At 2 hours the distance is 24 km; at 3 hours it is still 24 km.}\)
Using the same cyclist data (0, 12, 24, 24, 36, 48 km over 0-5 hours), what is the maximum distance shown?
\(\text{The greatest recorded distance is at 5 hours.}\)
Using the same cyclist data (0, 12, 24, 24, 36, 48 km over 0-5 hours), is the overall relationship increasing, decreasing, or constant?
Answer: Increasing
\(\text{Compare the first value (0 km) to the last value (48 km).}\)
\(\text{The distance rises overall, even though it pauses from 2 to 3 hours.}\)
Use \(y=3x-2\). What is the value of y when \(x=-2\)?
\(y = 3x-2\)
\(y = 3(-2)-2 = -6-2\)
Use \(y=3x-2\). What is the correct ordered pair when \(x=1\)?
Answer: (1;1)
\(y = 3(1)-2 = 3-2 = 1\)
\(\text{Ordered pairs are written } (x;y)\text{, with x first.}\)