word problem help please

Question

Ace Car Rental Company rents a car for $50 per day and $0.25 per mile driven. Laura is a customer who wants to keep her car rental bill at $100 or less. At most how many miles can she drive in one day?

Show work. Let x = number of miles driven. Write an appropriate inequality involving x and solve it algebraically

Answer 1

$50+.25x=$100

$50-$50+.25x=$100-$50

.25x=$50

(.25x)/.25=$50/.25

x=200 miles

Answer 2

C = 50d + 0.25X

 

    50 d + 0.25 X ≤100

 

 

    Graph :

 

    50 d + 0.25 X = 100   / d = days on vertical axis , X on horizontal axis

 

     ( 0 , 2 )      ( 400, 0) are the intercept points

 

    Test ( 0, 0) 

 

      50 ( 0 ) + 0.25( 0 ) ≤0 

 

   So left on the line from the intercept points should be marked as the solution.