The cost to rent a car is $19.50 plus $.25 per mile. If you have $44 to rent a car, what is the greatest number of miles that you drive?

Question

I need the inequality for the answer of the que 

Answer 1

Let x = the number of miles you drive

 

     cost = $19.50 plus $.25 per mile

 

     cost = $19.50 + ($0.25)x

 

Since the cost must be less than or equal to $44:

 

     $44 = $19.50 +($0.25)x

 

     $24.50 = ($0.25)x

 

     ($24.50)/($0.25) = x = 98 miles

 

x must be be equal to or less than 98 miles to keep the cost less than or equal to $44:

 

      x ≤ 98 miles