Sam is trying to determine which cell phone and service plan to buy for his mother. The first phone costs $100 and $55 per month  for unlimited usage. The second iphone costs $150 and $51 per month for unlimited usage. How many months will it take for the second phone to be less expensive than the first phone?
 
      
                
     
    
    
    
    2  answers:
            
              
Answer: 
Here it is solve the inequality and round up when determining the number of months.
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Answer: 
13 months
Step-by-step explanation: 
x is the number of months 
first phone: 
f(x) = 55x + 100
second phone: 
g(x) = 51x + 150
now set up the inequality
g(x)<f(x)
51x + 150 < 55x + 100
Solve the inequality: 
51x + 150 < 55x + 100
(get everything on the correct sides... combine the like terms)
51x - 55x < 100 - 150
-4x < -50
divide both sides by -4 (don't forget to flip the inequality sign when dividing by a negative number.)
x > 50/4
x > 12.5
round up to 13
 
                                
             
         	
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(y-y1)=m(x-x1)
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Step-by-step explanation: 
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Answer: 
8
Step-by-step explanation: 
 
        
             
        
        
        
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