WorksheetsModeling in Math
Total questions: 20
Worksheet time: 25mins
Find a, b, and c
a=0.00995, b=-0.32536, c=2.831
a=0.003, b=-0.117, c=0.921
a=5, b=10, c=15
a=12, b=-3, c=-2
None of these
When developing a mathematical model, what should we do if the predictions of the model do not make sense in the context of the problem?
Reject our current model and develop a new one
Test the model again and change the number to make them work
Find a new problem to model
Reflect and apply our model.
When developing a model you need an independent variable and a dependent variable. Which of the following describes the independent variable? (select all that apply)
Controlled inputs
Is the variable the experimenter changes or controls
The variable that is not influenced by another variable
The variable that changed based on the dependent variable
What is the dependent variable?
A variable, whose value depends on another.
The varaible that you have control over
The variable that wear's Depends
The response varaible.
Molly harvests mushrooms in the forests of Oregon and then sells them to local restaurant chefs. The greater the weight of the mushrooms, the greater their value.
w = the weight of the mushrooms
v = the value of the mushrooms
v is the independent variable and w is the dependent variable
w is the independent variable and v is the dependent variable
A team from the Department of Public Works is painting lines of the freeway. The number of hours needed to finish the project depends on the length of road that needs to be lined.
h = the number of hours needed
r = the length of road
h is the independent variable and r is the dependent variable
r is the independent variable and h is the dependent variable
The students at Middletown High School are collecting food for a local food bank. The number of trucks needed to deliver the food to the food bank will depend on the amount of food collected.
t = the number of trucks needed to deliver the food
f = the amount of food collected
t is the independent variable and f is the dependent variable
f is the independent variable and t is the dependent variable
A flat piece of cardboard will be made into an open faced box by cutting out squares of length x from each corner then folding the sides up. Anna is writing an equation to model this situation. Describe an apporopriate domain for the function
0< x < 4
All Real Numbers
0 < x < 6
0 < x < 8
A flat piece of cardboard will be made into an open faced box by cutting out squares of length x from each corner then folding the sides up. Anna is writes the following equation to model the volume of the box
V= x(8-2x)(12-2x).
The domain is 0 < x < 4
Determine the range of the function
0< y < 67.604
All Real Numbers
0 < y
-20.196 < y < 67.604
Determine the domain and range of the model that make sense in the context of the problem.
Domain: 0 < x < ∞. Range: 0 < y < -∞
Domain: All Real Numbres. Range: y < 56.173
Domain: 0 < x < 5. Range: 0 < y < 50
Domain: 0 < x < 4.508. Range: 0 < y < 56.173
None of these
What is the domain and range of the function
Domain: 0 < t < 4. Range: 0 < y < ∞
Domain: All Real Numbres. Range: 0 < y < 25.612
Domain: 0 < t < 4. Range: 7.428 < y < 25.612
Domain: 0 < x < 4. Range: 7.428 < y < ∞
None of these
The function T(d) = 15sin(30d)+25 models the temperature in degrees C in Phoenix, AZ "m" months after Jan 2010.
Determine the feasable domain and range for this model.
Domain: 0 < m < ∞. Range: 0 < y < 40
Domain: 0 < m < ∞ Range: 10 < y < 40
Domain: 0 < m < 12. Range: 10 < y < 25
Domain: 0 < m < 360 Range: 10 < y < 40
None of these
