Matt A. answered • 10/10/24
Experienced and enthusiastic math teacher with ten years of experience
Without making any assumptions about the problem type:
1- Test each scenario by dividing 174.45/5 and 271.95/8
2- This reveals two different answers, indicating there is an additional number being added
3- Create formulas for each scenario: # of tickets, plus added fee = total
5t + f = 174.45 8t + f = 271.95
4- Plug in both formulas into a graphing calculator and locate their point of intersect at (32.5, 11.95)
5- The X value indicates the cost per ticket, the Y value is the added fee
6- Plug in these values to find the cost of 12 tickets:
12t + f = ? 12(32.5) + 11.95 = ?
The final answer should be $401.95
James S.
10/10/24
James S.
10/10/24
Matt A.
I suppose you're correct: I did make some assumptions based on prior knowledge regarding ticket sales. I also assumed linear as it was a prealgebra problem, therefore unlikely to be non-linear based on my own state standards. I would have rather used a TI-83/84 than Desmos, but I couldn't seem to un-mirror my document camera, so I was stuck with trying to find an alternate method to show the graphs/work. As for not using a table function: this unit would be calculator active in the state I teach in, so I neglected to include other methods: I could have done better in this area.10/10/24
James S.
10/10/24