IM Algebra Unit 6 Lesson 6 HW

The height of a diver above the water, is given by  $h\left(t\right)=-5t^2+10t+3$ , where t is time measured in seconds and h(t) is the height measured in meters. Select all statements that are true about the situation.

• The diver begins 5 meters above the water

• The diver begins 3 meters above the water

• The diver begins at the same height as the water level

• The function has 1 zero that makes sense in this situation

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

The height of a baseball, in feet, is modeled by the function h given by the equation   $h\left(t\right)=3+60t-16t^2$  . The graph of the function is shown.

About when does the baseball reach its maximum height?

• 1 second

• 2 seconds

• 1.8 seconds

• 60 seconds

The height of a baseball, in feet, is modeled by the function h given by the equation   $h\left(t\right)=3+60t-16t^2$  . The graph of the function is shown.

About how high is the maximum height of the baseball?

• 1 foot

• 1.8 feet

• 50 feet

• 60 feet

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The height of a baseball, in feet, is modeled by the function h given by the equation   $h\left(t\right)=3+60t-16t^2$  . The graph of the function is shown.

About when does the ball hit the ground?

• 1 second

• 2 seconds

• 3.8 seconds

• 4 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Here are graphs of two rocks that are launched straight into the air. Which rock hits the ground first?

• The rock represented by the blue line.

• The rock represented by the red line.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Each expression represents an object's distance from the ground in meters as a function of time, t, in seconds.

Object A:  $-5t^2+25t+50$  
Object B:  $-5t^2+50t+25$  
Which object was launched with the greatest vertical speed?

• Object A

• Object B

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.6

Each expression represents an object's distance from the ground in meters as a function of time, t, in seconds.

Object A:  $-5t^2+25t+50$  
Object B:  $-5t^2+50t+25$  
Which object was launched with the greatest height?

• Object A

• Object B

Tags

CCSS.HSA.SSE.A.1

Tyler is building a pen for his rabbit on the side of the garage. He needs to fence in three sides and wants to use 24 ft of fencing.

On a separate piece of paper complete the table.

Which length and width combination should Tyler choose to give his rabbit the most room?

• 8x8

• 10x7

• 12x6

• 14x5

• 16x4

Here is a pattern of dots. On a separate piece of paper complete the table.

How many dots will there be in Step n? Write a rule using n as the step number.

• $3n+3$

• $4n-1$

• $n^2+1$

• $n^2+3$

 $f\left(x\right)=2^x$                    $g\left(x\right)=x^2+16$  
The values of $f$  will always be greater than the values of  $g$ .  ***hint: Try plugging in values for f and g like 4, 5, 6.

• True

• False