Linear Function Modeling Charity Walkathon Example

GeoGebra Commands & Parameters

1. Segment(C_0, (x(C_0), 0)) → D_1
2. Distance(L2, D_1) → val1
3. LaTeX("\text{Identify the domain of the function.}") → text1
4. LaTeX("\text{depends on the number of miles he walks.}") → text7
5. LaTeX("\text{Garrett cannot walk a negative number of miles, and right when he starts, the number of}") → text8
6. LaTeX("\text{In this case, the independent variable is \textcolor{#000099}{m}, the number of miles Garrett walks, because}") → text4
7. LaTeX("\text{its value is not determined by \textcolor{#000099}{d}. That is, the number of miles Garrett walks does not}") → text5
8. LaTeX("\text{Identify the range of the function.}") → text12
9. LaTeX("\text{The range of a linear function is all the possible values of the function’s dependent}") → text13
10. LaTeX("\text{variable.}") → text14
11. LaTeX("\text{Garrett raises depends on the number of miles he walks.}") → text17
12. LaTeX("\text{In this case, the dependent variable is \textcolor{#000099}{d}, which represents the number of dollars Garrett }") → text15
13. LaTeX("\text{raises, because its value is determined by \textcolor{#000099}{m}. In other words, the amount of money}") → text16
14. LaTeX((("\text{symbolically, \textcolor{#000099}{d ≥ " * dollars) * "}.}")) → text21
15. LaTeX("\text{the domain of the function is all real numbers \textcolor{#000099}{m} such that \textcolor{#000099}{m} is greater than or equal to}") → text10
16. LaTeX((("\text{range of the function is all real numbers \textcolor{#000099}{d} such that \textcolor{#000099}{d} is greater than or equal to \textcolor{#000099}{" * dollars) * "} or,}")) → text20
17. LaTeX((("\text{\textcolor{#000099}{m} \textendash number of miles; \textcolor{#000099}{d} \textendash number of dollars; \textcolor{#000099}{" * money) * "} \textendash money donated by Garrett}")) → Question2
18. OrthogonalLine(L2, xAxis) → c
19. LaTeX("\text{The domain of a linear function is all the possible values of the function’s independent variable.}") → text2
20. OrthogonalLine(L2, xAxis) → k
21. LaTeX((((((((("\text{he can raise is \textcolor{#000099}{" * distance) * "(") * val2) * ") + ") * money) * " = ") * dollars) * "}. In theory, there is no maximum. Therefore, the}")) → text19
22. LaTeX("\text{m}") → text22
23. LaTeX((("\text{Since the minimum number of miles Garrett can walk is \textcolor{#000099}{" * val2) * "}, the minimum number of dollars}")) → text18
24. LaTeX((("\text{miles he will have walked is \textcolor{#000099}{" * val2) * "}. In theory, there is no maximum value for \textcolor{#000099}{m}. Therefore,}")) → text9
25. LaTeX((((("\text{ \textcolor{#000099}{" * val2) * "} or, symbolically, \textcolor{#000099}{m ≥ ") * val2) * "}.}")) → text11
26. LaTeX((("\text{Number of miles=" * val2) * "}")) → text26
27. LaTeX("\text{depend on the amount of money he raises \textendash instead, the amount of money he raises }") → text6
28. Sequence(Segment[A_0 + (i, 0), A_0 + (i, (-0.5))], i, 0, 10) → list1
29. Sequence(Segment[A_0 + (i - 0.5, 0), A_0 + (i - 0.5, (-0.4))], i, 1, 10) → list2
30. Sequence(Sequence[Segment[A_0 + ((0.5 * i) + (0.1 * j), 0), A_0 + ((0.5 * i) + (0.1 * j), (-0.3))], j, 1, 4], i, 0, 19) → list3
31. Segment((0, 0), (0, 1)) → i
32. Vector(B_0, C_0) → u
33. LaTeX("\text{0}") → scalevalue1
34. LaTeX("\text{5}") → scalevalue2
35. LaTeX("\text{10}") → scalevalue3
36. LaTeX("\text{15}") → scalevalue4
37. LaTeX("\text{20}") → scalevalue5
38. LaTeX("\text{25}") → scalevalue6
39. LaTeX("\text{30}") → scalevalue7
40. LaTeX("\text{35}") → scalevalue8
41. LaTeX("\text{40}") → scalevalue9
42. LaTeX("\text{45}") → scalevalue10
43. LaTeX("\text{50}") → scalevalue11
44. Segment(D_0, A_0) → Scaleline
45. LaTeX("\text{the function}") → text24
46. LaTeX("\text{the function}") → text27
47. LaTeX("\text{\mathbf{Linear \;function}}\; \text{a function that can be written in the form \textcolor{#000099}{f(x)=mx+b}, in}") → text30
48. LaTeX("\text{\mathbf{Range}}\text{ the set of all outputs of a function; the set of \textcolor{#000099}{y}-values that are valid for }") → text32
49. LaTeX("\text{\mathbf{Domain}} \text{ the set of all inputs of a function; the set of \textcolor{#000099}{x}-values that are valid for }") → text31
50. LaTeX("\text{which \textcolor{#000099}{m} is the slope, \textcolor{#000099}{b} is the \textcolor{#000099}{y}-intercept, and the graph is a straight line }") → text3
51. LaTeX((((("\text{Solve the linear function \textcolor{#000099}{d = " * distance) * "m + ") * money) * "}.}")) → Question1