Linear Functions in Context

For the linear function

 $h\left(t\right)=3t+10$  , what is the input? 

•  $t$  

•  $h\left(t\right)$  

•  $3$  

•  $10$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

For the linear function

 $h\left(t\right)=3t+10$  , what is the y-intercept? 

•  $t$  

•  $h\left(t\right)$  

•  $3$  

•  $10$  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

For the linear function

 $h\left(t\right)=3t+10$  , what is the slope? 

•  $t$  

•  $h\left(t\right)$  

•  $3$  

•  $10$  

Tags

CCSS.HSF.IF.C.7

A neighborhood decides to open a new library.  The function  $b\left(w\right)$  represents the total number of books in the library after $w$ weeks.

 $b\left(w\right)=450+6w$  
What is the output of this function? 

•  $b\left(w\right)$  

•  $w$  

•  $450$  

•  $6$  

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

A neighborhood decides to open a new library.  The function  $b\left(w\right)$  represents the total number of books in the library after $w$ weeks.

 $b\left(w\right)=450+6w$  
What is the slope of this function? 

•  $b\left(w\right)$  

•  $w$  

•  $450$  

•  $6$  

Tags

CCSS.HSF.IF.C.7

A neighborhood decides to open a new library.  The function  $b\left(w\right)$  represents the total number of books in the library after $w$ weeks.

 $b\left(w\right)=450+6w$  
What is the meaning of the slope? 

• For every 1 week, the total number of books in the library increases by 6. 

• For every 1 library, the total number of weeks is 6.

• For every 1 book, the total number of weeks increases by 6.

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

A neighborhood decides to open a new library.  The function  $b\left(w\right)$  represents the total number of books in the library after $w$ weeks.

 $b\left(w\right)=450+6w$  
Which part of the function represents the number of books the library started with? 

•  $b\left(w\right)$  

•  $w$  

•  $450$  

•  $6$  

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.2

A neighborhood decides to open a new library.  The function  $b\left(w\right)$  represents the total number of books in the library after $w$ weeks.

 $b\left(w\right)=450+6w$  
If you want to find out how many weeks until there are  $630$  books, which is correct?

•  $630=450+6w$  

•  $b\left(630\right)=450+6\left(630\right)$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

A neighborhood decides to open a new library.  The function  $b\left(w\right)$  represents the total number of books in the library after $w$ weeks.

You should set up your equation like this for which question?  
 $b\left(500\right)=450+6\left(500\right)$  

• How long will it take until there are 500 books in the library?

• How many books will be in the library after 500 weeks? 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Jane is saving more money in a different savings account! The total amount of money, $a\left(t\right)$ , that she has saved after  $t$  months is given by  $a\left(t\right)=40t+35$  . 

What is the slope of this function? 

•  $a\left(t\right)$  

•  $40$  

•  $t$  

•  $35$