Modeling with Functions Answers

Which type of function best models the data in the table below?xy244268110

The graph below represents the path of a grasshopper as it jumps.Which type of function models the data on the graph?

The time, in seconds, that it takes a pendulum to swing back and forth is modeled by the equation below., where l is the length of the pendulum in feetWhat is the approximate length of a pendulum that takes seconds to swing back and forth?

Ramiro drew the graph below.Which equation represents the data in the graph?

The pressure of a fixed volume of a certain gas is related to its temperature as shown in the table below.Temperature of Gas vs. Pressure Temperature (in degrees Celsius)Pressure (in pascals)44915293609568977699Which type of function best models the data in the table?

A science teacher wrote the table of values below.Amount of Hydrogen vs. pHAmount of Hydrogen, x(in moles per liter)pH, f(x)12345Which function models the data in the table?

A new car sells for $25,000. The value of the car decreases by 15% each year. What is the approximate value of the car 5 years after it is purchased?

Kareem wants to write an equation for the data in the table below.xy–3–2–101What is the general form of the equation Kareem can use to represent the data?

The height of an object after it is released can be modeled by the function , where t is the number of seconds after the object is released, v is the upward speed in feet per second at release, and s is the starting height in feet. If a quarterback throws a ball from his hand 6 feet in the air at an upward speed of 25 feet per second, how much time does his teammate have to catch the ball?

The amount of water pressure exerted on a scuba diver varies with depth. The graph below shows the relationship between pressure, p, in atmospheres, and depth, d, in ft.Depth of Water and Water PressureBased on the information in the graph, what is the water pressure at sea level?