What is the farthest you can go?

Question

You want to spend at most $10 for a taxi ride. Before you go anywhere, the taxi driver sets the meter at the initial charge of $2. The meter then adds $1.25 for every mile driven. If you plan on $1 tip, what is the farthest you can go?

Answer 1

x = farthest distance in miles

 

($2 initial charge) + ($1.25x) + ($1 tip) ≤ $10

 

1.25x + 3 ≤ 10

 

x ≤ (10 - 3)/1.25 miles

 

x ≤ 5.6 miles