Jeff is studying abroad in Sussex England this summer. He wants to visit a local museum outside of town this weekend. A taxi cab in London costs £2.70 pounds plus 0.20 pence per kilometer traveled if you use the Queen’s Cab Company. If you use the Royal Cab Company they will charge you £1.55 pounds plus 0.35 pence per kilometer. Which cab company should Jeff use?

if it's less than 7.66km use Royal, if more than 7.66 use Queen's

Step-by-step explanation:

To get the answer you can set up mutliple equations

For Queen's Cab Company

2.70 + 0.20x = ?

for Royal Cab Company

1.55 + 0.35x = ?

Since you didn't give a distance which is what will determine which is cheaper we can solve as a set of equations.

2.70 + 0.20x = 1.55 + 0.35x

1.15 = .15x

x = 7.66

So this lets you know that at 7.66 km Royal cab company becomes more expensive due to their pence per km.

So if it's less than 7.66km use Royal, if more use Queen's

f is the midpoint of