4. 4. Mathematical Modeling

The set of input values of a function.

• domain
• function
• annotate
• cartesian coordinate system

A rule that takes an input, transforms it, and produces a unique output

• extrusion

• pattern

• assembly

• function

The process of choosing and using appropriate mathematics and statistics to analyze empirical situations, to understand them better, and to improve decisions.

• mathematical modeling
• marketing
• geometric constraint
• computer-aided design

A function that demonstrates a constant rate of change between two quantities

• Linear function

• Domain

• Range

• Quadratic function

The set of output values of a function.

• Range
• Domain
• Origin
• Plane

Using the mathematical model of the Runoff vs Rainfall answer the question if w represents the annual Rainfall.

What is the domain of the function?

• 0 < w < 60

• w ≥ 0

• 0 < w < 30

• w < 20

Using the mathematical model of the Runoff vs Rainfall answer the question where R(w) represents the annual Runoff.

What is the range of the function?

• R(w) < 0

• R(w) ≥ 0

• 0 < R(w) < 30

• R(w) < 20

Using the mathematical model of the Runoff vs Rainfall answer the question, what is the slope of your trend line?

• Slope = 15.9

• Slope = 0.6185

• Slope = 9.7758

What is the advantage of using Excel for data analysis?

• Excel provides a quick way to analyze data and find trend lines.

• Excel lets you record data in table form.

• Excel only allows you to make accurate predictions using trend lines.

Using the equation of the trend line on the scatter plot illustrated in the image, answer the following question. If a minimum jump height of 89.7 inches is recorded, predict the estimated weight of the bike.

• 17.3 lb

• 87.6 lb

• 0.99 lbs

• 24 lb