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Algebra 1

7.5.5 Practice

Algebra 17.5.5 Practice

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Complete the following questions to practice the skills you have learned in this lesson.

  1. A rocket is launched in the air and its height, in feet, is modeled by the function h .

Here is a graph representing h .

A curve on a graph, origin O, with grid. Horizontal axis, time, seconds, scale 0 to 8, by 1’s. Vertical axis, height, feet, scale 0 to 200, by 20’s. A curve passes through the points 0 comma 5, 3 comma 161, and 5 comma 105.

Select three true statements about the situation.

  1. The rocket is launched from a height less than 20 feet above the ground.
  2. The rocket is launched from about 20 feet above the ground.
  3. The rocket reaches its maximum height after about 3 seconds.
  4. The rocket reaches its maximum height after about 160 seconds.
  5. The maximum height of the rocket is about 160 feet.
  1. A baseball travels d meters t seconds after being dropped from the top of a building. The distance traveled by the baseball can be modeled by the equation d = 5 t 2 .

Use this table to answer questions a–g. 

t (seconds) d (meters)
0  
0.5  
1  
1.5  
2  
Table 7.5.0
    1. How many meters ( d ) did the baseball travel in 0 seconds ( t )?
    1. How many meters ( d ) did the baseball travel in 0.5 seconds ( t )?
    1. How many meters ( d ) did the baseball travel in 1 second ( t )?
    1. How many meters ( d ) did the baseball travel in 1.5 seconds ( t )?
    1. How many meters ( d ) did the baseball travel in 2 seconds ( t )?
    1. Is this graph an accurate representation of the data in the table? 



  1. No
  2. Yes
    1. Is the baseball traveling at a constant speed?
  1. No
  2. Yes
  1. A small ball is dropped from a 100-foot-tall building. Which equation could represent the ball’s height, h ( t ) , in feet, relative to the ground, as a function of time, t , in seconds?
  1. h ( t ) = 100 16 t
  2. h ( t ) = 100 + 16 t 2
  3. h ( t ) = 100 16 t 2
  4. h ( t ) = 100 16 t
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