Summer Math: Entering Algebra 1 Worksheet Page 6

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Functions  (F)  
1.  Animals    
 Most  animals  age  more  rapidly  than  humans  do.    The  chart  shows  equivalent  ages  for  horses  and  humans.        
 
Horse  age  (x)  
0  
1  
2  
3  
 
 
 
 
 
 
 
Human  age  (y)  
0  
3  
6  
9  
 
 
 
 
 
 
 
 
Complete  the  table  
Write  an  equation  that  relates  human  age  to  horse  age.  
Find  the  equivalent  horse  age  for  a  human  who  is  16  years  old.  
Find  the  equivalent  human  age  for  a  horse  who  is  9.5  years  old.  
 
 
 
 
2. New  Bike  
 
The  new  bicycle  you  want  costs  $355.    Suppose  you  have  already  saved  $50  toward  the  cost  of  the  new  
bicycle.    You  plan  to  save  $5  more  each  week  until  you  have  enough  money  to  buy  the  bike.  
Write  an  equation  for  the  total  amount  T  you  will  have  w  weeks  from  now.  
Graph  the  equation.  
Find  the  total  amount  saved  after  7  weeks.  
How  long  will  it  take  to  save  $355?  
 
 
3. Home  Security
 
 
A  home  security  company  provides  security  systems  for  $5  per  week,  plus  an  installation  fee.    The  total  fee  
for  12  weeks  of  service  is  $210.  
Make  a  table  to  show  the  weekly  cost  of  the  security  system  from  1  to  12  weeks.  
What  is  the  flat  fee  for  installation?  
Write  the  equation  that  represents  the  relationship  between  the  total  fee  and  the  number  of  
weeks  of  service  
Graph  the  equation.  
 
 
 

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