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Jamal works in a city and sometimes takes a taxi to work. The taxicabs charge $1.50 for the first 1/5 mile and $0.25 for each additional 1/5 mile. Jamal has only $3.75 in his pocket. What is the maximum distance he can travel by taxi if he does not tip the driver?

Respuesta :

1.50+.25x=3.75
.25x=2.25
x=9
9/5+1/5=10/5
2 miles

Answer:

9 miles

Step-by-step explanation:

Jamal works in a city and sometimes takes a taxi to work.

The taxicabs charge $1.50 for the first [tex]\frac{1}{5}[/tex] mile and $0.25 for each additional [tex]\frac{1}{5}[/tex] mile.

Let Jamal can travel by taxi = x miles

the charges of x miles = 0.25x

He has $3.75 in his pocket.

So the equation to represent the distance he can travel by taxi will be

1.50 + 0.25x = 3.75

0.25x = 3.75 - 1.50

0.25x = 2.25

x = [tex]\frac{2.25}{0.25}[/tex]

x = 9 miles

He can travel 9 miles by taxi.