Question

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?

Answer 1

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

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:

`1.50+1.55(x)=10.49`

We will solve this equation to find value of x

Solving:

`1.50+1.55(x)=10.49`

Subtracting 1.50 from both sides

`1.50+1.55(x)-1.50=10.49-1.50\\1.55(x)=8.99\\x=(8.99)/(1.55) \\x=5.8`

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