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Jackson goes out of town and needs to take a taxi once he arrives to explore the city. He has
$65 total to spend on taxi fares, and the taxi charges $3.75 plus an additional $1.25 per mile.
The graph below models the number of miles Jackson can travel in the taxi.

40 41 42 43 44 45 46 47 48 49 50 51 52
Which of the following is the correct interpretation of the solution?
A. Jackson can ride 47 miles or less in the taxi.
B. Jackson can ride more than 47 miles in the taxi.
C. Jackson can ride 47 miles or more in the taxi.
D. Jackson can ride less than 47 miles in the taxi.

Respuesta :

facundo3141592

Answer: B

Step-by-step explanation:

The taxi costs:

C(x) = $3.75 + $1.25*x

where x is the number of miles.

Then the maximum cost that Jackson can pay is C(x) = $65, with this we can find the maximum x.

$65 = $3.75 + $1.25*x

$65 - $3.75 = $1.25*x

$61.25/$1.25 = x

49 = x

Then he can travel a maximum distance of 49 miles.

The correct option is:

He can travel more than 47 miles (a maximum of 49)

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