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Writing Equations to Model Relationships - YouTube YouTube Start of suggested clip End of suggested clip So it's gonna be $4.99. Times B. And that's why we use multiplication. Let's go on to the next oneMoreSo it's gonna be $4.99. Times B. And that's why we use multiplication. Let's go on to the next one blueberries are four dollars and 99 cents a pound Jayda buys p pounds of blueberries and pays C.

A mathematical model usually describes a system by a set of variables and a set of equations that establish relationships between the variables. Variables may be of many types; real or integer numbers, boolean values or strings, for example.

Given a graph of a line, we can write a linear function in the form y=mx+b by identifying the slope (m) and y-intercept (b) in the graph. GIven a graph of an exponential curve, we can write an exponential function in the form y=ab^x by identifying the common ratio (b) and y-intercept (a) in the graph.

Mathematical models are used throughout the physical sciences. Some models in different fields include the following. Many mathematical models use similar equations. Four common forms of mathematical models are exponential decay, exponential growth, quadratic functions, and linear functions.

The formula for a linear model is y=mx+b. The y represents the output value, the m represents the rate of change, the x represents the input value, and the b represents the constant.

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It is common for a math model to have numerical constants and variables that represent different aspects of the system. For example, it is possible to describe how a baseball travels through the air after it has been thrown using the kinematic equations from physics.