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Broadway cabs and city cars are two competing taxi companies in a small town. Th

ID: 3017539 • Letter: B

Question

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.

Explanation / Answer

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

-3.3<

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