The total charge for a taxi ride includes an initial fee of $2.75 plus $2.25 for every 1/2 mile traveled. Joe took a taxi, and the ride cost him $56.75. How would this be put in a equation? Show your work.

if he rode x miles, then that's 2x half-miles

2.75 + 2.25(2x) = 56.75

That's if you want to find out how many miles the ride was.

Bartlett tenn

To create an equation representing the total cost of Joe's taxi ride, we need to consider the initial fee and the additional charge for each half mile traveled.

Let's assume that Joe traveled a total of x half miles during his taxi ride.

The equation for Joe's taxi fare can be derived as follows:

Initial fee: $2.75
Additional charge per half mile: $2.25

The total cost of the taxi ride is the sum of the initial fee and the additional charge per half mile multiplied by the number of half miles traveled:

Total cost = Initial fee + Additional charge per half mile * Number of half miles traveled

Substituting the given values into the equation, we have:

$56.75 = $2.75 + $2.25 * x

Simplifying the equation further:

$56.75 - $2.75 = $2.25 * x
$54 = $2.25 * x

Finally, to find the value of x (the number of half miles traveled by Joe), divide both sides of the equation by $2.25:

x = $54 / $2.25

By performing the division:

x ≈ 24

So, Joe traveled approximately 24 half miles during his taxi ride.