91Ó°ÊÓ

Each group member should consult an almanac, newspaper, magazine, or the Internet to find data that can be modeled by linear, exponential, logarithmic, or quadratic functions. Group members should select the two sets of data that are most interesting and relevant. Then consult a person who is familiar with graphing calculators to show you how to obtain a function that best fits each set of data. Once you have these functions, each group member should make one prediction based on one of the models, and then discuss a consequence of this prediction. What factors might change the accuracy of the prediction?

Without graphing, Determine if each system has no solution or infinitely many solutions. \(\left\\{\begin{array}{l}6 x-y \leq 24 \\ 6 x-y>24\end{array}\right.\)

Explain how to solve a system of equations using graphing.

Describe how to calculate the slope of a line passing through two points.

What is the disadvantage to solving a system of equations using the graphing method?

What does it mean if the slope of a line is undefined?

When using the addition or substitution method, how can you tell whether a system of linear equations has infinitely many solutions? What is the relationship between the graphs of the two equations?

Make Sense? Determine whether each statement makes sense or does not make sense, and explain your reasoning. Every system of linear equations has infinitely many ordered-pair solutions.

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Every line in the rectangular coordinate system has an equation that can be expressed in slope-intercept form.

The relationship between Celsius temperature, \(C\), and Fahrenheit temperature, \(F\), can be described by a linear equation in the form \(F=m C+b\). The graph of this equation contains the point \((0,32)\) : Water freezes at \(0^{\circ} \mathrm{C}\) or at \(32^{\circ} \mathrm{F}\). The line also contains the point \((100,212)\) : Water boils at \(100^{\circ} \mathrm{C}\) or at \(212^{\circ} \mathrm{F}\). Write the linear equation expressing Fahrenheit temperature in terms of Celsius temperature.