IM Alg1.6.14 Lesson: Graphs That Represent Situations

[size=150]The height in inches of a frog's jump is modeled by the equation [math]h\left(t\right)=60t-75t^2[/math] where the time, [math]t[/math], after it jumped is measured in seconds.[/size][br][br][img]data:image/png;base64,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[/img][br][br]Find [math]h\left(0\right)[/math] and [math]h\left(0.8\right)[/math]. What do these values mean in terms of the frog’s jump?[br]
How much time after it jumped did the frog reach the maximum height? Explain how you know.[br]
[size=150]The equation [math]h=2+23.7t-4.9t^2[/math] represents the height of a pumpkin that is catapulted up in the air as a function of time, [math]t[/math], in seconds. The height is measured in meters above ground. The pumpkin is shot up at a vertical velocity of 23.7 meters per second.[br][br]Without writing anything down, consider these questions:[/size][br][list][*]What do you think the 2 in the equation tells us in this situation? What about the [math]-4.9t^2[/math]?[/*][/list]
[list][*]If we graph the equation, will the graph open upward or downward? Why?[br][/*][/list]
[list][*]Where do you think the vertical intercept would be?[br][/*][/list]
[list][*]What about the horizontal intercepts?[br][/*][/list]
Graph the equation using graphing technology.
Identify the vertical and horizontal intercepts, and the vertex of the graph. Explain what each point means in this situation.[br]
What approximate vertical velocity would this pumpkin need for it stay in the air for about 10 seconds? (Assume that it is still shot from 2 meters in the air and that the effect of gravity pulling it down is the same.)
[size=150]Here is a graph that represents the height of a baseball, [math]h[/math], in feet as a function of time, [math]t[/math], in seconds after it was hit by Player A.[/size][br][img]data:image/png;base64,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[/img][br][size=150][br]The function [math]g[/math] defined by [math]g\left(t\right)=\left(-16t-1\right)\left(t-4\right)[/math] also represents the height in feet of a baseball [math]t[/math] seconds after it was hit by Player B. Without graphing function [math]g[/math], answer the following questions and explain or show how you know.[/size][br][br]Which player’s baseball stayed in flight longer?[br]
Which player’s baseball reached a greater maximum height?[br]
How can you find the height at which each baseball was hit?[br]
Your teacher will give you either a problem card or a data card. Do not show or read your card to your partner.
[table][tr][td]If your teacher gives you the data card:[/td][td]If your teacher gives you the problem card:[/td][/tr][tr][td][list=1][*]Silently read the information on your card.[/*][*]Ask your partner “What specific information do [br]you need?” and wait for your partner to ask for [br]information. Only give information that is on your card. [br](Do not figure out anything for your partner!)[/*][*]Before telling your partner the information, ask [br]“Why do you need to know (that piece of information)?”[/*][*]Read the problem card, and solve the problem[br]independently.[/*][*]Share the data card, and discuss your reasoning.[/*][/list][/td][td][list=1][*]Silently read your card and think about what [br]information you need to answer the question.[/*][*]Ask your partner for the specific information that [br]you need.[/*][*]Explain to your partner how you are using the [br]information to solve the problem.[/*][*]When you have enough information, share the [br]problem card with your partner, and solve the [br]problem independently.[/*][*]Read the data card, and discuss your reasoning.[/*][/list][/td][/tr][/table][br][br]Pause here so your teacher can review your work. Ask your teacher for a new set of cards and repeat the activity, trading roles with your partner.

IM Alg1.6.14 Practice: Graphs That Represent Situations

[size=100][size=150]Here are graphs of functions [math]f[/math] and [math]g[/math].[/size][/size][br][img]data:image/png;base64,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[/img][br][br][size=150]Each represents the height of an object being launched into the air as a function of time.[/size][br][br]Which object was launched from a higher point?[br]
Which object reached a higher point?[br]
Which object was launched with the higher upward velocity?[br]
Which object landed last?[br]
The function h given by h(t)=(1-t)(8+16t) models the height of a ball in feet, t seconds after it was thrown.
Find the zeros of the function. Show or explain your reasoning.[br]
What do the zeros tell us in this situation? Are both zeros meaningful?[br]
From what height is the ball thrown? Explain your reasoning.[br]
About when does the ball reach its highest point, and about how high does the ball go? Show or explain your reasoning.[br]
[size=150]The height in feet of a thrown football is modeled by the equation [math]f\left(t\right)=6+30t-16t^2[/math], where time [math]t[/math] is measured in seconds.[/size][br][br]What does the constant 6 mean in this situation?
What does the [math]30t[/math] mean in this situation?[br]
How do you think the squared term [math]-16t^2[/math] affects the value of the function [math]f[/math]? What does this term reveal about the situation?[br]
[size=150]The height in feet of an arrow is modeled by the equation [math]h\left(t\right)=\left(1+2t\right)\left(18-8t\right)[/math], where [math]t[/math] is seconds after the arrow is shot.[/size][br][br]When does the arrow hit the ground? Explain or show your reasoning.[br]
From what height is the arrow shot? Explain or show your reasoning.[br]
Two objects are launched into the air.
[list][size=150][*]The height, in feet, of Object A is given by the equation [math]f\left(t\right)=4+32t-16t^2[/math].[br][/*][*]The height, in feet, of the Object B is given by the equation [math]g\left(t\right)=2.5+40t-16t^2[/math]. In both functions, [math]t[/math] is seconds after launch.[/*][/size][/list][br]Which object was launched from a greater height? Explain how you know.[br]
Which object was launched with a greater upward velocity? Explain how you know.[br]
[size=150]Predict the [math]x[/math]- and [math]y[/math]-intercepts of the graph of the quadratic function defined by the expression [math]\left(x+6\right)\left(x-6\right)[/math]. [/size][br]Explain how you made your predictions.[br]
Check your predictions by graphing y=(x+6)(x-6).
A student needs to get a loan of $12,000 for the first year of college
[size=150]Bank A has an annual interest rate of 5.75%, Bank B has an annual interest rate of 7.81%, and Bank C has an annual rate of 4.45%.[/size][br][br]If we graph the amount owed for each loan as a function of years without payment, predict what the three graphs would look like. Describe or sketch your prediction.[br]
Use graphing technology to plot the graph of each loan balance.
Based on your graph, how much would the student owe for each loan when they graduate from college in four years?[br]
Based on your graph, if no payments are made, how much would the student owe for each loan after 10 years?[br]
[size=150]The functions [math]f[/math] and [math]g[/math] are given by [math]f\left(x\right)=13x+6[/math] and [math]g\left(x\right)=0.1\cdot\left(1.4\right)^x[/math].[/size][br] [br][br]Which function eventually grows faster, [math]f[/math] or [math]g[/math]? Explain how you know.[br]
Use graphing technology to decide when the graphs of f and g meet.

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