Lesson 295 of 1524
7.14 Graphs That Represent Situations
The height, in inches, of a frog's jump is modeled by the equation h ( t ) = 60 t - 75 t 2 , where the time t , after the frog jumps, is measured in seconds
Practice this chapterThe height, in inches, of a frog's jump is modeled by the equation h ( t ) = 60 t - 75 t 2 , where the time t , after the frog jumps, is measured in seconds They mean that the frog is on the ground when t = 0 (before jumping) and when t = 0.8 (when the frog lands on the ground)
Explain how you know this is the time the frog reached the maximum height The frog reached its maximum height at t = 0.4 , as that is the halfway point of the jump.
frog's jump — modeled by the equation h ( t ) = 60 t - 75 t 2 , where the time t , after the frog jumps, is measured in seconds. frog — on the ground when t = 0 (before jumping) and when t = 0.8 (when the frog lands on the ground).
Be able to explain how a quadratic equation and its graph relate to a situation.
Worked example
What does “frog's jump” mean in 7.14 Graphs That Represent Situations?
- 1Use the wording this chapter gives for frog's jump.
- 2The book says: modeled by the equation h ( t ) = 60 t - 75 t 2 , where the time t , after the frog jumps, is measured in seconds.
- 3Do not use the meaning of frog. That term means on the ground when t = 0 (before jumping) and when t = 0.8 (when the frog lands on the ground).
Result: modeled by the equation h ( t ) = 60 t - 75 t 2 , where the time t , after the frog jumps, is measured in seconds
Why. That is the meaning this chapter gives for frog's jump.
Do not swap frog's jump and frog. frog's jump means modeled by the equation h ( t ) = 60 t - 75 t 2 , where the time t , after the frog jumps, is measured in seconds. frog means on the ground when t = 0 (before jumping) and when t = 0.8 (when the frog lands on the ground).
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.