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 many miles did he travel in the taxi? What is the equation? Show your work.
56.75-2.75= 54.00, 54.00/4.50 (the 4.50 came from mulipling 2.25 by 2 to get 1 whole mile)54/4.5= 12. So, he traveled 12 miles.
12
Let's denote the number of miles Joe traveled in the taxi as "m".
According to the given information, the taxi ride cost $56.75, which includes an initial fee of $2.75 and $2.25 for every 1/2 mile traveled.
So the equation can be written as:
$56.75 = $2.75 + ($2.25 × m/0.5)
To simplify the equation, we first convert the fraction into a decimal:
$56.75 = $2.75 + ($2.25 × m/0.5)
$56.75 = $2.75 + $4.5m
Next, we isolate the variable by subtracting $2.75 from both sides:
$56.75 - $2.75 = $2.75 + $4.5m - $2.75
$54.00 = $4.5m
To solve for "m", we divide both sides by $4.5:
$54.00 / $4.5 = $4.5m / $4.5
12 = m
Therefore, Joe traveled 12 miles in the taxi.
To find the number of miles Joe traveled in the taxi, let's set up an equation based on the given information.
Let's assume that Joe traveled x miles in the taxi. According to the given information, the total charge for the taxi ride includes an initial fee of $2.75 plus $2.25 for every 1/2 mile traveled.
The initial fee is $2.75, and for every 1/2 mile, an additional $2.25 is charged. So, for x miles, the additional charge for the distance traveled can be calculated as 2.25 * (2 * x), because for every 1 mile, there are 2 halves.
Now, we can form the equation:
Total charge = Initial fee + Additional charge for the distance traveled
$56.75 = $2.75 + 2.25 * (2 * x)
Simplifying the equation:
$56.75 = $2.75 + 4.5 * x
$54 = 4.5 * x
Dividing both sides of the equation by 4.5 to solve for x:
54 / 4.5 = x
12 = x
Therefore, Joe traveled 12 miles in the taxi.