Variables x and y are in direct proportion, and y = -12 when x = -3. Which line in the graph correctly shows the relationship be
tween x and y?
1 answer:
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Answer:
The true statements are;
The car makes one complete revolution in 12 s
The radius of the Ferris wheel is 25 yd
Step-by-step explanation:
The values of the table of the given Ferris wheel are presented here as follows;
From the table, we have;
The time it takes the Ferris wheel to complete a motion round from a height of 30 yards and back to 30 yards which is one revolution = 12 s
∴ The time it takes the car to complete one revolution = 12 s
The maximum height of the Ferris wheel = 55 yards
The lowest height of the Ferris wheel = 5 yards
The time at which the Ferris wheel is at the lowest height = 9 s, and 21 s
If the car is loaded at 0 s, then people are loaded above the lowest height of the Ferris wheel
The diameter of the Ferris wheel = The maximum height of the Ferris wheel - The minimum height of the Ferris wheel
∴ The diameter of the Ferris wheel = 55 yards - 5 yards = 50 yards
The radius of the Ferris wheel, R = 1/2 × The diameter of the Ferris wheel
∴ The radius of the Ferris wheel, R = 1/2 × 50 yards = 25 yards
Therefore, the true statements are;
The car makes one complete revolution in 12 s
The radius of the Ferris wheel is 25 yd.