Juan needs to take an Uber to get to the movies. The Uber charges $1.50 for the first mile, and then $1.55 for each mile after that. If the total charge is $10.49, then how far was Juan’s Uber ride to the movie?

Respuesta :

Answer:

5.8 miles were travelled by Juan's Uber ride to the movie.

Step-by-step explanation:

Let x = miles travelled by Juan

Charges for first mile = $1.50

Charges for each mile after first = $1.55

Total charge for Juan = $10.49

We need to find how many miles Juan covered?

The equation will be:

[tex]1.50+1.55(x)=10.49[/tex]

We will solve this equation to find value of x

Solving:

[tex]1.50+1.55(x)=10.49[/tex]

Subtracting 1.50 from both sides

[tex]1.50+1.55(x)-1.50=10.49-1.50\\1.55(x)=8.99\\x=\frac{8.99}{1.55} \\x=5.8[/tex]

So, 5.8 miles were travelled by Juan's Uber ride to the movie.

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