Two School Clubs Selling Plants Example

GeoGebra Commands & Parameters

1. LaTeX(steps) → counter
2. LaTeX("\text{Use the buttons below to return to the original problem or}\cr\text{randomly generate a similar practice problem.}") → RandomizationText
3. Corner(1) → A
4. Corner(3) → B
5. If(jugwins > 0, LaTeX["\text{the juggling club sells out before the mock trial club does}"], If[jugwins < 0, LaTeX["\text{the mock trial club sells out before the juggling club does}"], LaTeX["\text{the juggling club and the mock trial club sell out by the end of the same day}"]]) → winner
6. LaTeX("\text{Determine how many plants the juggling club has sold.}") → text1
7. LaTeX((((((("\text{The juggling club has sold " * jugStart) * " – ") * jugLeft) * " or ") * jugSold) * " plants.}")) → text2
8. LaTeX("\text{Calculate the average number of plants the juggling club sold per day.}") → text3
9. LaTeX((((("\text{The juggling club sold " * jugSold) * " plants over ") * jugFirstDays) * " days. Divide to determine the average. }")) → text4
10. LaTeX((((((("\textcolor{#000099}{\frac{" * jugSold) * "}{") * jugFirstDays) * "}\approx ") * jugrate) * "}")) → text5
11. LaTeX((("\text{The juggling club sold an average of approximately " * jugrate) * " plants each day.}")) → text6
12. LaTeX("\text{Determine how many plants the mock trial club has sold.}") → text7
13. LaTeX((((((("\text{The mock trial club has sold " * mockStart) * " – ") * mockLeft) * " or ") * mockSold) * " plants.}")) → text8
14. LaTeX("\text{Calculate the average number of plants the mock trial club sold per day.}") → text9
15. LaTeX((((("\text{The mock trial club sold " * mockSold) * " plants over ") * mockFirstDays) * " days. Divide to determine the average. }")) → text10
16. LaTeX((((((("\textcolor{#000099}{\frac{" * mockSold) * "}{") * mockFirstDays) * "}\approx ") * mockrate) * "}")) → text11
17. LaTeX((("\text{The mock trial club sold an average of approximately " * mockrate) * " plants each day.}")) → text12
18. LaTeX("\text{Describe the rates at which the two clubs sold their plants. Compare the kinds of}\cr\text{numbers that represent days, plants, and rates.}") → text13
19. LaTeX("\text{Calculate how long it will take the juggling club to sell its remaining plants.}") → text15
20. LaTeX((((("\text{The juggling club has 30 plants left and inventory is changing at a rate of about}\cr\text{–" * jugrate) * " plants per day, so the juggling club’s plants will sell out in ") * jugOutDays) * " day(s).}")) → text16
21. LaTeX("\text{Calculate how long it will take the mock trial club to sell its remaining plants.}") → text17
22. LaTeX((((((("\text{The mock trial club has " * mockLeft) * " plants left and inventory is changing at a rate of about}\cr\text{–") * mockrate) * " plants per day, so the mock trial club’s plants will sell out in ") * mockOutDays) * " day(s).}")) → text18
23. LaTeX("\text{Explain which club will sell out of plants first.}") → text19
24. LaTeX((((((("\text{The variables “days” and “plants” are positive whole numbers, whereas “rate” can}\cr\text{be a negative number. In this situation, the rates for the two clubs are negative,}\cr\text{because the rates reflect a reduction in the number of plants each club has in}\cr\text{stock. The rate for the juggling club is approximately –" * jugrate) * " plants per day because}\cr\text{the quantity of plants is being reduced by an average of about –") * jugrate) * " per day;}\cr\text{similarly, the rate for the mock trial club is –") * mockrate) * " plants per day.}")) → text14
25. LaTeX("\text{Move the slider to solve the problem.}") → text0
26. LaTeX((((((((((((("\text{The juggling club started with " * jugStart) * " plants and after ") * jugFirstDays) * " days has ") * jugLeft) * " plants left.}\cr\text{The mock trial club started with ") * mockStart) * " plants and after ") * mockFirstDays) * " days has ") * mockLeft) * " plants left.}")) → Problem
27. LaTeX((((((((((((((("\text{The juggling club has been selling for " * jugFirstDays) * " days and will sell out in ") * jugOutDays) * " more day(s) for a}\cr\text{total of ") * jugTotalDays) * " days.}\cr\text{The mock trial club has been selling for ") * mockFirstDays) * " days and will sell out in ") * mockOutDays) * " more day(s) for a}\cr\text{total of ") * mockTotalDays) * " days.}\cr\text{Therefore, }") * winner) * "\text{.}")) → text20