Broadway cabs and city cars are two competing taxi companies

Broadway cabs and city cars are two competing taxi companies in a small town. The cost in dollars of a cab ride of d miles is C_1 = 2.7 + 2.7 d for Broadway cabs and C_2 = 6 + 2.59 d for city cars. (a) Describe in words the fare breakdown for each company. Broadway cabs charges a $ 2.7 flat rate plus $2.7 City cars charges a $ 6 flat rate plus $ 2.59 (b) Determine the conditions under which Broadway cabs is cheaper than city cars. Broadway cabs is cheaper than city cars provided the journey is less than miles.

Solution

b) Broadway cabs is cheaper than city cars when

C1<C2

2.7+2.7d<6+2.59d

2.7d-2.59d<6-2.7

0.11d<3.3

d<30

Broadway cabs is cheaper than city cars provided the jouney is less than 30 miles

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