If a point aka ordered pair is a solution, it will appear on the table as the (x,y) will make the equation true.
Check all the “easy” x values that are integers (x = 0, x = 5, x = -1) — which y value in the answer choice does not match that of the table?
Look at where the graph crosses the x axis…then check those x values by seeing that the y value is 0 on the table. Students can also prove their answer by substituting the x values into the equation to see if the result is 0.
The initial height means no time has passed and therefore t = 0.
The Regents offers this physics application of Math which is super easy to solve and learn!
When x = 0, in other words at 0 seconds, how high is the rocket?
You may not need a calculator to substitute in x = 0 🙂
Two questions to ask:
1. Does V(x) grow or decay?
2. When putting 4(0.65)^x vs 4(1.35)^x into the Y= of the TI-83/4, does the table look like the one above?
Hopefully the student will know that the number in parentheses (the growth/decay factor) determines if it is growth or decay but through the graphing calculator, they can figure it out, get the right answer and earn 2 points!