Final answer:
Juan's Uber ride to the movies was approximately 5.8 miles.
Step-by-step explanation:
To find out how far Juan's Uber ride was to the movies, we need to determine the number of miles he traveled. Let's assume the distance of Juan's Uber ride is x miles.
The total charge for the ride is the sum of the initial charge and the charge for the additional miles. The initial charge is $1.50, and the charge for the additional miles is $1.55 per mile.
So, the equation to represent the total charge is:
Total Charge = $1.50 + $1.55(x - 1)
We are given that the total charge is $10.49. Substituting this value into the equation, we have:
$10.49 = $1.50 + $1.55(x - 1)
Solving for x, we isolate x by subtracting $1.50 from both sides, then dividing both sides by $1.55:
(x - 1) = ($10.49 - $1.50) / $1.55
x - 1 = 8.99 / 1.55
x = 5.8064516
Rounding to the nearest tenth, Juan's Uber ride to the movies was approximately 5.8 miles.