ACTIVITY 5 Modeling phenomena with linear and quadratic function

Scientists are measuring a distant planet's temperature. The graph shows the temperature (in °C) versus the height (in kilometers) above the planet's surface.

What is the temperature at 0 kilometers?

Scientists are measuring a distant planet's temperature. The graph shows the temperature (in °C) versus the height (in kilometers) above the planet's surface.

Choose the statement that best describes how the height and temperature are related.

• As the height increases, the temperature decreases

• As the height increases, the temperature increases

Scientists are measuring a distant planet's temperature. The graph shows the temperature (in °C) versus the height (in kilometers) above the planet's surface.

At what rate is the temperature decreasing?

• 3°C

• 12 °C

• 24°C

• 28°C

A construction crew is lengthening a road. Let y represent the total length of the road (in kilometers). Let

x represent the number of days the crew has worked. Suppose that x and y are related by the equation

3x+54=y

Note that a change can be an increase or a decrease.For an increase, use a positive number. For a decrease, use a negative number.

What is the change in the road's length per day?

• 3 kilometers

• -3 kilometers

• 54 kilometers

• -54 kilometers

The cost C (in pesos) of manufacturing x wheels at Jorge's Bicycle Supply is given by the function C(x)=0.9x²-288x+35 386

. How many wheels must be made to minimize the cost?

Do not round your answer.

Owners of a recreation area are filling a small pond with water. Let y represent the total amount of water in the pond (in liters). Let x represent the total number of minutes that water has been added. Suppose that x and y are related by the equation y=32x+400

What was the starting amount of water in the pond?

A functions relates the input p to the output u= 3 + 2p

Which is the independent variable for this function?

• p

• u

Agustin works at Adventure Park. He notice that the daily numbers of tickets sold at the park varies with the daily high temperature.

What is the independent variable in this relationship?

• Daily numbers of tickets sold

• Daily high temperature