Modeling with Functions Assignment
Each place in a decimal number can be one of the digits 0 to 9. Each place in a binary number
can only be 0 or 1. The table shows the number of digits needed to represent several decimal
numbers as binary numbers.
A logarithmic function is an appropriate model because, for evenly spaced y-values, the of
consecutive x-values is constant. - ANS-logarithmic - ratio
The graph shows the relationship between the length, x, in meters, of a pendulum and its
period, y, in seconds. The period is the amount of time it takes the pendulum to swing forward
and back.
An exponential function is not an appropriate model because, for evenly spaced x-values, the of
consecutive y-values is not constant. - ANS-square root - ratio
A bottle of water is placed in a freezer. The table shows how the approximate temperature of the
bottle changes over time. What type of function best models the data in the graph?
Which exponential equation best models the data in the graph? - ANS-exponential -
y=25(0.85)^5/5
What type of function best models the data in the graph?
Which quadratic equation best models the data in the graph? - ANS-quadratic - y = 0.433x^2 (A)
Which function best models the data in the table?
Which function best models the data in the table? - ANS-A - 120
Which function best models the data in the graph?
The fulcrum of a lever is the point on which it turns. Based on the function, how many pounds of
force are needed to lift the rock if the distance from the fulcrum is 6 feet? - ANS-y=60/x - 10
Which function best models the data in the graph?
The horizontal reach of a fire hose is the distance the hose can spray water horizontally. Based
on the function, about what is the minimum water pressure the fire hose needs to have a
horizontal reach of 100 feet? - ANS-y=10.2 sqrtx - 96 lb/in.2
Each place in a decimal number can be one of the digits 0 to 9. Each place in a binary number
can only be 0 or 1. The table shows the number of digits needed to represent several decimal
numbers as binary numbers.
A logarithmic function is an appropriate model because, for evenly spaced y-values, the of
consecutive x-values is constant. - ANS-logarithmic - ratio
The graph shows the relationship between the length, x, in meters, of a pendulum and its
period, y, in seconds. The period is the amount of time it takes the pendulum to swing forward
and back.
An exponential function is not an appropriate model because, for evenly spaced x-values, the of
consecutive y-values is not constant. - ANS-square root - ratio
A bottle of water is placed in a freezer. The table shows how the approximate temperature of the
bottle changes over time. What type of function best models the data in the graph?
Which exponential equation best models the data in the graph? - ANS-exponential -
y=25(0.85)^5/5
What type of function best models the data in the graph?
Which quadratic equation best models the data in the graph? - ANS-quadratic - y = 0.433x^2 (A)
Which function best models the data in the table?
Which function best models the data in the table? - ANS-A - 120
Which function best models the data in the graph?
The fulcrum of a lever is the point on which it turns. Based on the function, how many pounds of
force are needed to lift the rock if the distance from the fulcrum is 6 feet? - ANS-y=60/x - 10
Which function best models the data in the graph?
The horizontal reach of a fire hose is the distance the hose can spray water horizontally. Based
on the function, about what is the minimum water pressure the fire hose needs to have a
horizontal reach of 100 feet? - ANS-y=10.2 sqrtx - 96 lb/in.2
