Practice - Algebra 1

7.5.5 Practice

7.5.5 • Practice

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

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.

The rocket is launched from a height less than 20 feet above the ground.
The rocket is launched from about 20 feet above the ground.
The rocket reaches its maximum height after about 3 seconds.
The rocket reaches its maximum height after about 160 seconds.
The maximum height of the rocket is about 160 feet.

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 $d=5t2$ .

Use this table to answer questions a – g.

$t$ (seconds)	$d$ (meters)
0
0.5
1
1.5
2

How many meters $(d$ ) did the baseball travel in 0 seconds ( $t$ )?

How many meters $(d$ ) did the baseball travel in 0.5 seconds ( $t$ )?

How many meters ( $d$ ) did the baseball travel in 1 second ( $t$ )?

How many meters ( $d$ ) did the baseball travel in 1.5 seconds ( $t$ )?

How many meters ( $d$ ) did the baseball travel in 2 seconds ( $t$ )?

Is this graph an accurate representation of the data in the table?

Is the baseball traveling at a constant speed?

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?

$h(t)=100-\frac{16}t$
$h(t)=100+16t^2$
$h(t)=100-16t^2$
$h(t)=100-16t$