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In which city is the rate per mile highest?(Description in photo)

In which city is the rate per mile highest?(Description in photo)-example-1

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Solution

Given that;

In new york city,

The cost of a taxi after x miles is given as

y = 0.4x + 2.50 -------------------(1)

The cost of a taxi in San Francisco is assumed to be

Y = aX + b

From the table

2.85 = a(0) + b => b = 2.85

11.85 = a(20) + b

=> 11.85 = a(20) + 2.85

Substracting 2.85 from both sides

=> 11.85 - 2.85 = a(20) + 2.85 -2.85

=>20a = 11.85 - 2.85

=> 20a = 9

=> a = 9/20 = 0.45

=> Y = 0.45X + 2.85 --------------(2)

From equations (1) and (2),

San Francisco has a 0.45 rate per mile, while New York has a 0.4 rate per mile.

Obviously, San Francisco is the city in which the rate per mile is higher

User KiraAG
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