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A rental car company is running two specials. Customers can pay $49 to rent a compact car for the first day plus $2 for each additional day, or they can rent the same car for $42 the first day and $3 for every additional day beyond that. Josh notices that, given the number of additional days he wants to rent the car for, the two specials are equivalent. How much would Josh pay in total? How many additional days does Josh want?
 

 Apr 20, 2021
 #1
avatar+290 
+3

y = 3x + 42

 

2x + 49 = 3x + 42

 

-x + 49 = 42

 

-x = -7

 

x = 7
 

 

 

y = 2x + 49

 

y = 2(7) + 49

 

y = 14 + 49

 

y = 63

 

Josh would pay $63 either way for 7 additional days.

 Apr 20, 2021

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