Question

A taxi cab charges $0.55 per mile in addition to a $1.75 flat rate fee. Susie has $10 to spend on a taxi cab ride. The taxi driver will not give anyone a ride unless they are going somewhere that is more than 2 miles away. Model Susie’s situation with a system of inequalities.

Answer 1

Let y equal to the total fare and x is the mile of taxi ride. So the equation is

Y = 0.55x + 1.75

Since Susie has $10 to spend for a taxi cab, so he can have

10 = 0.55x + 1.75

X = 15 miles of taxi ride

So the system of inequality is

10 < 0.55x + 1.75

X > 2