PISA QUESTIONS

1.    If the power output of a wind turbine is proportional to the cube of the wind speed, what type of function can be used to model this relationship?

• P = kv³

  •P is the power output in watts

  •k is a constant of proportionality

  •v is the wind speed in meters per second

• P = kv

  •P is the power output in watts

  •k is a constant of proportionality

  •v is the wind speed in meters per second

•  P = v³

  •P is the power output in watts

  •k is a constant of proportionality

  •v is the wind speed in meters per second

• P = kv

  •P is the power output in watts

  •k is a constant of proportionality

  •v is the wind speed in meters per second

2. 2. If power is 10 watts when the wind speed is 5m/s, what is the power when the wind speed is 15m/s?

• P = 269 W

• P = 270 W

• P = 271.5 W

• P = 271.75 W

3. What are the environmental and economic benefits of wind energy?

1.    How will you write a formula for the area, A, of the garden as a function of x?

• A(x) = 10x – x²

• A(x) = x(10 – x)

• A(x) = x(20 – x)

• A(x) = 20x – x²

2. 2. What is the maximum area that can be enclosed by the 20 meters of fencing?

• 24 square meters

• 25 square meters

• 26 square meters

• 27 square meters

3. 3. The gardener wants to plant tomato plants in the garden. Each plant requires 0.25 square meters of space. How many tomato plants can the gardener plant in the garden of maximum area 25 square meters?

1.    If each cabin occupies an arc of 10 degrees, how many cabins can fit on the Ferris wheel?

• 25 cabins

• 29 cabins

• 30 cabins

• 36 cabins

2. 2. A passenger in a cabin observes another cabin at an angle of 30 degrees. What is the measure of the central angle that intercepts the same arc as the inscribed angle from the passenger’s cabin?

• 50 degrees

• 57 degrees

• 60 degrees

• 67 degrees

3. 3. If the designed Ferris wheel can accommodate 36 cabins, what is the arc length of each cabin?